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Finding the Fourth Proportional to 229.97, 345.02 and 101.81

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Solution

The fourth proportional to 229.97, 345.02 and 101.81 is: 152.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.97 : 345.02 = 101.81 : x
  2. Step 2: Convert to fraction form
    229.97/345.02 = 101.81/x
  3. Step 3: Cross multiply
    229.97x = 345.02 × 101.81
  4. Step 4: Simplify right side
    229.97x = 35,126.49
  5. Step 5: Solve for x
    x = 35,126.49/229.97
  6. Step 6: Final answer
    x = 152.74

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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.