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Finding the Fourth Proportional to 284.20, 392.19 and 159.86

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Solution

The fourth proportional to 284.20, 392.19 and 159.86 is: 220.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.20 : 392.19 = 159.86 : x
  2. Step 2: Convert to fraction form
    284.20/392.19 = 159.86/x
  3. Step 3: Cross multiply
    284.20x = 392.19 × 159.86
  4. Step 4: Simplify right side
    284.20x = 62,695.67
  5. Step 5: Solve for x
    x = 62,695.67/284.20
  6. Step 6: Final answer
    x = 220.60

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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.