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Finding the Fourth Proportional to 150.24, 225.12 and 78

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Solution

The fourth proportional to 150.24, 225.12 and 78 is: 116.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.24 : 225.12 = 78 : x
  2. Step 2: Convert to fraction form
    150.24/225.12 = 78/x
  3. Step 3: Cross multiply
    150.24x = 225.12 × 78
  4. Step 4: Simplify right side
    150.24x = 17,559.36
  5. Step 5: Solve for x
    x = 17,559.36/150.24
  6. Step 6: Final answer
    x = 116.88

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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.