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Finding the Fourth Proportional to 284.31, 426.57 and 176.18

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Solution

The fourth proportional to 284.31, 426.57 and 176.18 is: 264.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.31 : 426.57 = 176.18 : x
  2. Step 2: Convert to fraction form
    284.31/426.57 = 176.18/x
  3. Step 3: Cross multiply
    284.31x = 426.57 × 176.18
  4. Step 4: Simplify right side
    284.31x = 75,150.31
  5. Step 5: Solve for x
    x = 75,150.31/284.31
  6. Step 6: Final answer
    x = 264.33

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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.