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Finding the Fourth Proportional to 150.92, 207.81 and 147.51

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Solution

The fourth proportional to 150.92, 207.81 and 147.51 is: 203.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.92 : 207.81 = 147.51 : x
  2. Step 2: Convert to fraction form
    150.92/207.81 = 147.51/x
  3. Step 3: Cross multiply
    150.92x = 207.81 × 147.51
  4. Step 4: Simplify right side
    150.92x = 30,654.05
  5. Step 5: Solve for x
    x = 30,654.05/150.92
  6. Step 6: Final answer
    x = 203.12

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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.