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Finding the Fourth Proportional to 284.72, 426.97 and 176.38

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Solution

The fourth proportional to 284.72, 426.97 and 176.38 is: 264.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.72 : 426.97 = 176.38 : x
  2. Step 2: Convert to fraction form
    284.72/426.97 = 176.38/x
  3. Step 3: Cross multiply
    284.72x = 426.97 × 176.38
  4. Step 4: Simplify right side
    284.72x = 75,308.12
  5. Step 5: Solve for x
    x = 75,308.12/284.72
  6. Step 6: Final answer
    x = 264.50

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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.