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Finding the Fourth Proportional to 229.47, 344.26 and 67.15

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Solution

The fourth proportional to 229.47, 344.26 and 67.15 is: 100.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.47 : 344.26 = 67.15 : x
  2. Step 2: Convert to fraction form
    229.47/344.26 = 67.15/x
  3. Step 3: Cross multiply
    229.47x = 344.26 × 67.15
  4. Step 4: Simplify right side
    229.47x = 23,117.06
  5. Step 5: Solve for x
    x = 23,117.06/229.47
  6. Step 6: Final answer
    x = 100.74

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