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Finding the Fourth Proportional to 150.27, 207.30 and 106.53

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Solution

The fourth proportional to 150.27, 207.30 and 106.53 is: 146.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.27 : 207.30 = 106.53 : x
  2. Step 2: Convert to fraction form
    150.27/207.30 = 106.53/x
  3. Step 3: Cross multiply
    150.27x = 207.30 × 106.53
  4. Step 4: Simplify right side
    150.27x = 22,083.67
  5. Step 5: Solve for x
    x = 22,083.67/150.27
  6. Step 6: Final answer
    x = 146.96

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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.