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Finding the Fourth Proportional to 218.85, 327.58 and 160.16

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Solution

The fourth proportional to 218.85, 327.58 and 160.16 is: 239.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.85 : 327.58 = 160.16 : x
  2. Step 2: Convert to fraction form
    218.85/327.58 = 160.16/x
  3. Step 3: Cross multiply
    218.85x = 327.58 × 160.16
  4. Step 4: Simplify right side
    218.85x = 52,465.21
  5. Step 5: Solve for x
    x = 52,465.21/218.85
  6. Step 6: Final answer
    x = 239.73

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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.