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Finding the Fourth Proportional to 223.16, 334.26 and 114.75

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Solution

The fourth proportional to 223.16, 334.26 and 114.75 is: 171.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.16 : 334.26 = 114.75 : x
  2. Step 2: Convert to fraction form
    223.16/334.26 = 114.75/x
  3. Step 3: Cross multiply
    223.16x = 334.26 × 114.75
  4. Step 4: Simplify right side
    223.16x = 38,356.34
  5. Step 5: Solve for x
    x = 38,356.34/223.16
  6. Step 6: Final answer
    x = 171.88

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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.