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Finding the Fourth Proportional to 150.16, 225.24 and 78.08

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Solution

The fourth proportional to 150.16, 225.24 and 78.08 is: 117.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.16 : 225.24 = 78.08 : x
  2. Step 2: Convert to fraction form
    150.16/225.24 = 78.08/x
  3. Step 3: Cross multiply
    150.16x = 225.24 × 78.08
  4. Step 4: Simplify right side
    150.16x = 17,586.74
  5. Step 5: Solve for x
    x = 17,586.74/150.16
  6. Step 6: Final answer
    x = 117.12

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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.