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Finding the Fourth Proportional to 150.38, 225.66 and 78.32

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Solution

The fourth proportional to 150.38, 225.66 and 78.32 is: 117.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.38 : 225.66 = 78.32 : x
  2. Step 2: Convert to fraction form
    150.38/225.66 = 78.32/x
  3. Step 3: Cross multiply
    150.38x = 225.66 × 78.32
  4. Step 4: Simplify right side
    150.38x = 17,673.69
  5. Step 5: Solve for x
    x = 17,673.69/150.38
  6. Step 6: Final answer
    x = 117.53

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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.