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Finding the Fourth Proportional to 225.65, 337.97 and 147.67

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Solution

The fourth proportional to 225.65, 337.97 and 147.67 is: 221.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.65 : 337.97 = 147.67 : x
  2. Step 2: Convert to fraction form
    225.65/337.97 = 147.67/x
  3. Step 3: Cross multiply
    225.65x = 337.97 × 147.67
  4. Step 4: Simplify right side
    225.65x = 49,907.29
  5. Step 5: Solve for x
    x = 49,907.29/225.65
  6. Step 6: Final answer
    x = 221.18

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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.