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Finding the Fourth Proportional to 283.38, 425.10 and 100.86

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Solution

The fourth proportional to 283.38, 425.10 and 100.86 is: 151.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.38 : 425.10 = 100.86 : x
  2. Step 2: Convert to fraction form
    283.38/425.10 = 100.86/x
  3. Step 3: Cross multiply
    283.38x = 425.10 × 100.86
  4. Step 4: Simplify right side
    283.38x = 42,875.59
  5. Step 5: Solve for x
    x = 42,875.59/283.38
  6. Step 6: Final answer
    x = 151.30

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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.