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Finding the Fourth Proportional to 223.14, 307.87 and 129.86

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Solution

The fourth proportional to 223.14, 307.87 and 129.86 is: 179.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.14 : 307.87 = 129.86 : x
  2. Step 2: Convert to fraction form
    223.14/307.87 = 129.86/x
  3. Step 3: Cross multiply
    223.14x = 307.87 × 129.86
  4. Step 4: Simplify right side
    223.14x = 39,979.35
  5. Step 5: Solve for x
    x = 39,979.35/223.14
  6. Step 6: Final answer
    x = 179.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.