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Finding the Fourth Proportional to 229.74, 317.16 and 180.78

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Solution

The fourth proportional to 229.74, 317.16 and 180.78 is: 249.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.74 : 317.16 = 180.78 : x
  2. Step 2: Convert to fraction form
    229.74/317.16 = 180.78/x
  3. Step 3: Cross multiply
    229.74x = 317.16 × 180.78
  4. Step 4: Simplify right side
    229.74x = 57,336.18
  5. Step 5: Solve for x
    x = 57,336.18/229.74
  6. Step 6: Final answer
    x = 249.57

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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.