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Finding the Fourth Proportional to 150.05, 206.92 and 117.29

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Solution

The fourth proportional to 150.05, 206.92 and 117.29 is: 161.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.05 : 206.92 = 117.29 : x
  2. Step 2: Convert to fraction form
    150.05/206.92 = 117.29/x
  3. Step 3: Cross multiply
    150.05x = 206.92 × 117.29
  4. Step 4: Simplify right side
    150.05x = 24,269.65
  5. Step 5: Solve for x
    x = 24,269.65/150.05
  6. Step 6: Final answer
    x = 161.74

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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.