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Finding the Fourth Proportional to 169.16, 233.42 and 150.66

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Solution

The fourth proportional to 169.16, 233.42 and 150.66 is: 207.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.16 : 233.42 = 150.66 : x
  2. Step 2: Convert to fraction form
    169.16/233.42 = 150.66/x
  3. Step 3: Cross multiply
    169.16x = 233.42 × 150.66
  4. Step 4: Simplify right side
    169.16x = 35,166.30
  5. Step 5: Solve for x
    x = 35,166.30/169.16
  6. Step 6: Final answer
    x = 207.89

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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.