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Finding the Fourth Proportional to 166.66, 248.72 and 155.65

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Solution

The fourth proportional to 166.66, 248.72 and 155.65 is: 232.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.66 : 248.72 = 155.65 : x
  2. Step 2: Convert to fraction form
    166.66/248.72 = 155.65/x
  3. Step 3: Cross multiply
    166.66x = 248.72 × 155.65
  4. Step 4: Simplify right side
    166.66x = 38,713.27
  5. Step 5: Solve for x
    x = 38,713.27/166.66
  6. Step 6: Final answer
    x = 232.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.