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Finding the Fourth Proportional to 284.24, 392.25 and 159.90

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Solution

The fourth proportional to 284.24, 392.25 and 159.90 is: 220.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.24 : 392.25 = 159.90 : x
  2. Step 2: Convert to fraction form
    284.24/392.25 = 159.90/x
  3. Step 3: Cross multiply
    284.24x = 392.25 × 159.90
  4. Step 4: Simplify right side
    284.24x = 62,718.01
  5. Step 5: Solve for x
    x = 62,718.01/284.24
  6. Step 6: Final answer
    x = 220.66

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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.