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Finding the Fourth Proportional to 360.96, 498.12 and 195.17

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Solution

The fourth proportional to 360.96, 498.12 and 195.17 is: 269.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.96 : 498.12 = 195.17 : x
  2. Step 2: Convert to fraction form
    360.96/498.12 = 195.17/x
  3. Step 3: Cross multiply
    360.96x = 498.12 × 195.17
  4. Step 4: Simplify right side
    360.96x = 97,215.48
  5. Step 5: Solve for x
    x = 97,215.48/360.96
  6. Step 6: Final answer
    x = 269.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.