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Finding the Fourth Proportional to 225.09, 337.62 and 129.12

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Solution

The fourth proportional to 225.09, 337.62 and 129.12 is: 193.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.09 : 337.62 = 129.12 : x
  2. Step 2: Convert to fraction form
    225.09/337.62 = 129.12/x
  3. Step 3: Cross multiply
    225.09x = 337.62 × 129.12
  4. Step 4: Simplify right side
    225.09x = 43,593.49
  5. Step 5: Solve for x
    x = 43,593.49/225.09
  6. Step 6: Final answer
    x = 193.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.