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Finding the Fourth Proportional to 218.85, 302.07 and 140.22

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Solution

The fourth proportional to 218.85, 302.07 and 140.22 is: 193.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.85 : 302.07 = 140.22 : x
  2. Step 2: Convert to fraction form
    218.85/302.07 = 140.22/x
  3. Step 3: Cross multiply
    218.85x = 302.07 × 140.22
  4. Step 4: Simplify right side
    218.85x = 42,356.26
  5. Step 5: Solve for x
    x = 42,356.26/218.85
  6. Step 6: Final answer
    x = 193.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.