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Finding the Fourth Proportional to 284.61, 426.85 and 101.96

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Solution

The fourth proportional to 284.61, 426.85 and 101.96 is: 152.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.61 : 426.85 = 101.96 : x
  2. Step 2: Convert to fraction form
    284.61/426.85 = 101.96/x
  3. Step 3: Cross multiply
    284.61x = 426.85 × 101.96
  4. Step 4: Simplify right side
    284.61x = 43,521.41
  5. Step 5: Solve for x
    x = 43,521.41/284.61
  6. Step 6: Final answer
    x = 152.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.