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Finding the Fourth Proportional to 161.66, 243.46 and 154.10

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Solution

The fourth proportional to 161.66, 243.46 and 154.10 is: 232.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.66 : 243.46 = 154.10 : x
  2. Step 2: Convert to fraction form
    161.66/243.46 = 154.10/x
  3. Step 3: Cross multiply
    161.66x = 243.46 × 154.10
  4. Step 4: Simplify right side
    161.66x = 37,517.19
  5. Step 5: Solve for x
    x = 37,517.19/161.66
  6. Step 6: Final answer
    x = 232.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.