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Finding the Fourth Proportional to 225.75, 337.71 and 153.46

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Solution

The fourth proportional to 225.75, 337.71 and 153.46 is: 229.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.75 : 337.71 = 153.46 : x
  2. Step 2: Convert to fraction form
    225.75/337.71 = 153.46/x
  3. Step 3: Cross multiply
    225.75x = 337.71 × 153.46
  4. Step 4: Simplify right side
    225.75x = 51,824.98
  5. Step 5: Solve for x
    x = 51,824.98/225.75
  6. Step 6: Final answer
    x = 229.57

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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.