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Finding the Fourth Proportional to 229.88, 318.70 and 217.58

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Solution

The fourth proportional to 229.88, 318.70 and 217.58 is: 301.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.88 : 318.70 = 217.58 : x
  2. Step 2: Convert to fraction form
    229.88/318.70 = 217.58/x
  3. Step 3: Cross multiply
    229.88x = 318.70 × 217.58
  4. Step 4: Simplify right side
    229.88x = 69,342.75
  5. Step 5: Solve for x
    x = 69,342.75/229.88
  6. Step 6: Final answer
    x = 301.65

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.