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Finding the Fourth Proportional to 150.30, 207.37 and 97.92

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Solution

The fourth proportional to 150.30, 207.37 and 97.92 is: 135.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.30 : 207.37 = 97.92 : x
  2. Step 2: Convert to fraction form
    150.30/207.37 = 97.92/x
  3. Step 3: Cross multiply
    150.30x = 207.37 × 97.92
  4. Step 4: Simplify right side
    150.30x = 20,304.87
  5. Step 5: Solve for x
    x = 20,304.87/150.30
  6. Step 6: Final answer
    x = 135.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.