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Finding the Fourth Proportional to 150.40, 225.48 and 138.40

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Solution

The fourth proportional to 150.40, 225.48 and 138.40 is: 207.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.40 : 225.48 = 138.40 : x
  2. Step 2: Convert to fraction form
    150.40/225.48 = 138.40/x
  3. Step 3: Cross multiply
    150.40x = 225.48 × 138.40
  4. Step 4: Simplify right side
    150.40x = 31,206.43
  5. Step 5: Solve for x
    x = 31,206.43/150.40
  6. Step 6: Final answer
    x = 207.49

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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.