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Finding the Fourth Proportional to 229.68, 344.08 and 180.70

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Solution

The fourth proportional to 229.68, 344.08 and 180.70 is: 270.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.68 : 344.08 = 180.70 : x
  2. Step 2: Convert to fraction form
    229.68/344.08 = 180.70/x
  3. Step 3: Cross multiply
    229.68x = 344.08 × 180.70
  4. Step 4: Simplify right side
    229.68x = 62,175.26
  5. Step 5: Solve for x
    x = 62,175.26/229.68
  6. Step 6: Final answer
    x = 270.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.