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Finding the Fourth Proportional to 284.28, 392.34 and 159.96

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Solution

The fourth proportional to 284.28, 392.34 and 159.96 is: 220.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.28 : 392.34 = 159.96 : x
  2. Step 2: Convert to fraction form
    284.28/392.34 = 159.96/x
  3. Step 3: Cross multiply
    284.28x = 392.34 × 159.96
  4. Step 4: Simplify right side
    284.28x = 62,758.71
  5. Step 5: Solve for x
    x = 62,758.71/284.28
  6. Step 6: Final answer
    x = 220.76

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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.