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Finding the Fourth Proportional to 150.70, 225.78 and 102.40

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Solution

The fourth proportional to 150.70, 225.78 and 102.40 is: 153.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.70 : 225.78 = 102.40 : x
  2. Step 2: Convert to fraction form
    150.70/225.78 = 102.40/x
  3. Step 3: Cross multiply
    150.70x = 225.78 × 102.40
  4. Step 4: Simplify right side
    150.70x = 23,119.87
  5. Step 5: Solve for x
    x = 23,119.87/150.70
  6. Step 6: Final answer
    x = 153.42

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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.