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Finding the Fourth Proportional to 150.42, 225.48 and 78.24

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Solution

The fourth proportional to 150.42, 225.48 and 78.24 is: 117.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.42 : 225.48 = 78.24 : x
  2. Step 2: Convert to fraction form
    150.42/225.48 = 78.24/x
  3. Step 3: Cross multiply
    150.42x = 225.48 × 78.24
  4. Step 4: Simplify right side
    150.42x = 17,641.56
  5. Step 5: Solve for x
    x = 17,641.56/150.42
  6. Step 6: Final answer
    x = 117.28

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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.