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Finding the Fourth Proportional to 324.32, 486.14 and 129.26

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Solution

The fourth proportional to 324.32, 486.14 and 129.26 is: 193.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.32 : 486.14 = 129.26 : x
  2. Step 2: Convert to fraction form
    324.32/486.14 = 129.26/x
  3. Step 3: Cross multiply
    324.32x = 486.14 × 129.26
  4. Step 4: Simplify right side
    324.32x = 62,838.46
  5. Step 5: Solve for x
    x = 62,838.46/324.32
  6. Step 6: Final answer
    x = 193.75

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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.