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Finding the Fourth Proportional to 169.51, 233.15 and 150.47

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Solution

The fourth proportional to 169.51, 233.15 and 150.47 is: 206.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.51 : 233.15 = 150.47 : x
  2. Step 2: Convert to fraction form
    169.51/233.15 = 150.47/x
  3. Step 3: Cross multiply
    169.51x = 233.15 × 150.47
  4. Step 4: Simplify right side
    169.51x = 35,082.08
  5. Step 5: Solve for x
    x = 35,082.08/169.51
  6. Step 6: Final answer
    x = 206.96

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