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Finding the Fourth Proportional to 223.76, 335.65 and 86.78

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Solution

The fourth proportional to 223.76, 335.65 and 86.78 is: 130.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.76 : 335.65 = 86.78 : x
  2. Step 2: Convert to fraction form
    223.76/335.65 = 86.78/x
  3. Step 3: Cross multiply
    223.76x = 335.65 × 86.78
  4. Step 4: Simplify right side
    223.76x = 29,127.71
  5. Step 5: Solve for x
    x = 29,127.71/223.76
  6. Step 6: Final answer
    x = 130.17

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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.