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Finding the Fourth Proportional to 229.29, 344.06 and 97.50

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Solution

The fourth proportional to 229.29, 344.06 and 97.50 is: 146.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.29 : 344.06 = 97.50 : x
  2. Step 2: Convert to fraction form
    229.29/344.06 = 97.50/x
  3. Step 3: Cross multiply
    229.29x = 344.06 × 97.50
  4. Step 4: Simplify right side
    229.29x = 33,545.85
  5. Step 5: Solve for x
    x = 33,545.85/229.29
  6. Step 6: Final answer
    x = 146.30

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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.