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Finding the Fourth Proportional to 223.57, 334.93 and 136.66

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Solution

The fourth proportional to 223.57, 334.93 and 136.66 is: 204.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.57 : 334.93 = 136.66 : x
  2. Step 2: Convert to fraction form
    223.57/334.93 = 136.66/x
  3. Step 3: Cross multiply
    223.57x = 334.93 × 136.66
  4. Step 4: Simplify right side
    223.57x = 45,769.18
  5. Step 5: Solve for x
    x = 45,769.18/223.57
  6. Step 6: Final answer
    x = 204.72

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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.