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Finding the Fourth Proportional to 218.24, 327.54 and 110.10

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Solution

The fourth proportional to 218.24, 327.54 and 110.10 is: 165.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.24 : 327.54 = 110.10 : x
  2. Step 2: Convert to fraction form
    218.24/327.54 = 110.10/x
  3. Step 3: Cross multiply
    218.24x = 327.54 × 110.10
  4. Step 4: Simplify right side
    218.24x = 36,062.15
  5. Step 5: Solve for x
    x = 36,062.15/218.24
  6. Step 6: Final answer
    x = 165.24

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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.