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Finding the Fourth Proportional to 218.96, 328.14 and 116.04

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Solution

The fourth proportional to 218.96, 328.14 and 116.04 is: 173.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.96 : 328.14 = 116.04 : x
  2. Step 2: Convert to fraction form
    218.96/328.14 = 116.04/x
  3. Step 3: Cross multiply
    218.96x = 328.14 × 116.04
  4. Step 4: Simplify right side
    218.96x = 38,077.37
  5. Step 5: Solve for x
    x = 38,077.37/218.96
  6. Step 6: Final answer
    x = 173.90

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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.