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Finding the Fourth Proportional to 218.35, 301.30 and 160.03

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Solution

The fourth proportional to 218.35, 301.30 and 160.03 is: 220.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.35 : 301.30 = 160.03 : x
  2. Step 2: Convert to fraction form
    218.35/301.30 = 160.03/x
  3. Step 3: Cross multiply
    218.35x = 301.30 × 160.03
  4. Step 4: Simplify right side
    218.35x = 48,217.04
  5. Step 5: Solve for x
    x = 48,217.04/218.35
  6. Step 6: Final answer
    x = 220.82

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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.