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Finding the Fourth Proportional to 218.60, 301.98 and 174.48

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Solution

The fourth proportional to 218.60, 301.98 and 174.48 is: 241.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.60 : 301.98 = 174.48 : x
  2. Step 2: Convert to fraction form
    218.60/301.98 = 174.48/x
  3. Step 3: Cross multiply
    218.60x = 301.98 × 174.48
  4. Step 4: Simplify right side
    218.60x = 52,689.47
  5. Step 5: Solve for x
    x = 52,689.47/218.60
  6. Step 6: Final answer
    x = 241.03

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