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Finding the Fourth Proportional to 571.53, 857.42 and 186.81

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Solution

The fourth proportional to 571.53, 857.42 and 186.81 is: 280.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.53 : 857.42 = 186.81 : x
  2. Step 2: Convert to fraction form
    571.53/857.42 = 186.81/x
  3. Step 3: Cross multiply
    571.53x = 857.42 × 186.81
  4. Step 4: Simplify right side
    571.53x = 160,173.70
  5. Step 5: Solve for x
    x = 160,173.70/571.53
  6. Step 6: Final answer
    x = 280.25

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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.