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Finding the Fourth Proportional to 284.17, 392.13 and 159.82

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Solution

The fourth proportional to 284.17, 392.13 and 159.82 is: 220.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.17 : 392.13 = 159.82 : x
  2. Step 2: Convert to fraction form
    284.17/392.13 = 159.82/x
  3. Step 3: Cross multiply
    284.17x = 392.13 × 159.82
  4. Step 4: Simplify right side
    284.17x = 62,670.22
  5. Step 5: Solve for x
    x = 62,670.22/284.17
  6. Step 6: Final answer
    x = 220.54

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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.