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Finding the Fourth Proportional to 225.03, 337.32 and 179.67

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Solution

The fourth proportional to 225.03, 337.32 and 179.67 is: 269.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.03 : 337.32 = 179.67 : x
  2. Step 2: Convert to fraction form
    225.03/337.32 = 179.67/x
  3. Step 3: Cross multiply
    225.03x = 337.32 × 179.67
  4. Step 4: Simplify right side
    225.03x = 60,606.28
  5. Step 5: Solve for x
    x = 60,606.28/225.03
  6. Step 6: Final answer
    x = 269.33

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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.