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Finding the Fourth Proportional to 224.53, 336.27 and 114.57

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Solution

The fourth proportional to 224.53, 336.27 and 114.57 is: 171.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.53 : 336.27 = 114.57 : x
  2. Step 2: Convert to fraction form
    224.53/336.27 = 114.57/x
  3. Step 3: Cross multiply
    224.53x = 336.27 × 114.57
  4. Step 4: Simplify right side
    224.53x = 38,527.29
  5. Step 5: Solve for x
    x = 38,527.29/224.53
  6. Step 6: Final answer
    x = 171.59

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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.