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Finding the Fourth Proportional to 218.24, 327.35 and 55.93

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Solution

The fourth proportional to 218.24, 327.35 and 55.93 is: 83.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.24 : 327.35 = 55.93 : x
  2. Step 2: Convert to fraction form
    218.24/327.35 = 55.93/x
  3. Step 3: Cross multiply
    218.24x = 327.35 × 55.93
  4. Step 4: Simplify right side
    218.24x = 18,309.02
  5. Step 5: Solve for x
    x = 18,309.02/218.24
  6. Step 6: Final answer
    x = 83.90

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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.