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Finding the Fourth Proportional to 231.65, 319.65 and 132.07

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Solution

The fourth proportional to 231.65, 319.65 and 132.07 is: 182.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.65 : 319.65 = 132.07 : x
  2. Step 2: Convert to fraction form
    231.65/319.65 = 132.07/x
  3. Step 3: Cross multiply
    231.65x = 319.65 × 132.07
  4. Step 4: Simplify right side
    231.65x = 42,215.38
  5. Step 5: Solve for x
    x = 42,215.38/231.65
  6. Step 6: Final answer
    x = 182.24

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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.