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Finding the Fourth Proportional to 284.71, 392.81 and 174.17

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Solution

The fourth proportional to 284.71, 392.81 and 174.17 is: 240.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.71 : 392.81 = 174.17 : x
  2. Step 2: Convert to fraction form
    284.71/392.81 = 174.17/x
  3. Step 3: Cross multiply
    284.71x = 392.81 × 174.17
  4. Step 4: Simplify right side
    284.71x = 68,417.14
  5. Step 5: Solve for x
    x = 68,417.14/284.71
  6. Step 6: Final answer
    x = 240.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.