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Finding the Fourth Proportional to 284.72, 392.90 and 166.76

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Solution

The fourth proportional to 284.72, 392.90 and 166.76 is: 230.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.72 : 392.90 = 166.76 : x
  2. Step 2: Convert to fraction form
    284.72/392.90 = 166.76/x
  3. Step 3: Cross multiply
    284.72x = 392.90 × 166.76
  4. Step 4: Simplify right side
    284.72x = 65,517.21
  5. Step 5: Solve for x
    x = 65,517.21/284.72
  6. Step 6: Final answer
    x = 230.12

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Why These Related Problems?

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