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Finding the Fourth Proportional to 150.82, 225.84 and 78.70

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Solution

The fourth proportional to 150.82, 225.84 and 78.70 is: 117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.82 : 225.84 = 78.70 : x
  2. Step 2: Convert to fraction form
    150.82/225.84 = 78.70/x
  3. Step 3: Cross multiply
    150.82x = 225.84 × 78.70
  4. Step 4: Simplify right side
    150.82x = 17,773.61
  5. Step 5: Solve for x
    x = 17,773.61/150.82
  6. Step 6: Final answer
    x = 117.85

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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.