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Finding the Fourth Proportional to 284.15, 392.14 and 159.83

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Solution

The fourth proportional to 284.15, 392.14 and 159.83 is: 220.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.15 : 392.14 = 159.83 : x
  2. Step 2: Convert to fraction form
    284.15/392.14 = 159.83/x
  3. Step 3: Cross multiply
    284.15x = 392.14 × 159.83
  4. Step 4: Simplify right side
    284.15x = 62,675.74
  5. Step 5: Solve for x
    x = 62,675.74/284.15
  6. Step 6: Final answer
    x = 220.57

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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.