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Finding the Fourth Proportional to 284.22, 392.17 and 159.89

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Solution

The fourth proportional to 284.22, 392.17 and 159.89 is: 220.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.22 : 392.17 = 159.89 : x
  2. Step 2: Convert to fraction form
    284.22/392.17 = 159.89/x
  3. Step 3: Cross multiply
    284.22x = 392.17 × 159.89
  4. Step 4: Simplify right side
    284.22x = 62,702.10
  5. Step 5: Solve for x
    x = 62,702.10/284.22
  6. Step 6: Final answer
    x = 220.61

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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.