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Finding the Fourth Proportional to 324.13, 486.24 and 129.10

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Solution

The fourth proportional to 324.13, 486.24 and 129.10 is: 193.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.13 : 486.24 = 129.10 : x
  2. Step 2: Convert to fraction form
    324.13/486.24 = 129.10/x
  3. Step 3: Cross multiply
    324.13x = 486.24 × 129.10
  4. Step 4: Simplify right side
    324.13x = 62,773.58
  5. Step 5: Solve for x
    x = 62,773.58/324.13
  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.