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Finding the Fourth Proportional to 229.65, 316.55 and 180.44

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Solution

The fourth proportional to 229.65, 316.55 and 180.44 is: 248.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.65 : 316.55 = 180.44 : x
  2. Step 2: Convert to fraction form
    229.65/316.55 = 180.44/x
  3. Step 3: Cross multiply
    229.65x = 316.55 × 180.44
  4. Step 4: Simplify right side
    229.65x = 57,119.52
  5. Step 5: Solve for x
    x = 57,119.52/229.65
  6. Step 6: Final answer
    x = 248.72

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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.