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Finding the Fourth Proportional to 218.60, 301.50 and 140.84

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Solution

The fourth proportional to 218.60, 301.50 and 140.84 is: 194.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.60 : 301.50 = 140.84 : x
  2. Step 2: Convert to fraction form
    218.60/301.50 = 140.84/x
  3. Step 3: Cross multiply
    218.60x = 301.50 × 140.84
  4. Step 4: Simplify right side
    218.60x = 42,463.26
  5. Step 5: Solve for x
    x = 42,463.26/218.60
  6. Step 6: Final answer
    x = 194.25

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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.