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Finding the Fourth Proportional to 223.60, 335.13 and 136.66

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Solution

The fourth proportional to 223.60, 335.13 and 136.66 is: 204.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.60 : 335.13 = 136.66 : x
  2. Step 2: Convert to fraction form
    223.60/335.13 = 136.66/x
  3. Step 3: Cross multiply
    223.60x = 335.13 × 136.66
  4. Step 4: Simplify right side
    223.60x = 45,798.87
  5. Step 5: Solve for x
    x = 45,798.87/223.60
  6. Step 6: Final answer
    x = 204.82

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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.