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Finding the Fourth Proportional to 229.61, 344.14 and 105.93

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Solution

The fourth proportional to 229.61, 344.14 and 105.93 is: 158.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.61 : 344.14 = 105.93 : x
  2. Step 2: Convert to fraction form
    229.61/344.14 = 105.93/x
  3. Step 3: Cross multiply
    229.61x = 344.14 × 105.93
  4. Step 4: Simplify right side
    229.61x = 36,454.75
  5. Step 5: Solve for x
    x = 36,454.75/229.61
  6. Step 6: Final answer
    x = 158.77

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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.