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Finding the Fourth Proportional to 218.55, 300.96 and 174.81

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Solution

The fourth proportional to 218.55, 300.96 and 174.81 is: 240.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.55 : 300.96 = 174.81 : x
  2. Step 2: Convert to fraction form
    218.55/300.96 = 174.81/x
  3. Step 3: Cross multiply
    218.55x = 300.96 × 174.81
  4. Step 4: Simplify right side
    218.55x = 52,610.82
  5. Step 5: Solve for x
    x = 52,610.82/218.55
  6. Step 6: Final answer
    x = 240.73

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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.