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Finding the Fourth Proportional to 571.68, 857.16 and 186.84

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Solution

The fourth proportional to 571.68, 857.16 and 186.84 is: 280.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.68 : 857.16 = 186.84 : x
  2. Step 2: Convert to fraction form
    571.68/857.16 = 186.84/x
  3. Step 3: Cross multiply
    571.68x = 857.16 × 186.84
  4. Step 4: Simplify right side
    571.68x = 160,151.77
  5. Step 5: Solve for x
    x = 160,151.77/571.68
  6. Step 6: Final answer
    x = 280.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.