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Finding the Fourth Proportional to 571.76, 857.76 and 181.78

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Solution

The fourth proportional to 571.76, 857.76 and 181.78 is: 272.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.76 : 857.76 = 181.78 : x
  2. Step 2: Convert to fraction form
    571.76/857.76 = 181.78/x
  3. Step 3: Cross multiply
    571.76x = 857.76 × 181.78
  4. Step 4: Simplify right side
    571.76x = 155,923.61
  5. Step 5: Solve for x
    x = 155,923.61/571.76
  6. Step 6: Final answer
    x = 272.71

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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.