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Finding the Fourth Proportional to 218.60, 301.63 and 135.78

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Solution

The fourth proportional to 218.60, 301.63 and 135.78 is: 187.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.60 : 301.63 = 135.78 : x
  2. Step 2: Convert to fraction form
    218.60/301.63 = 135.78/x
  3. Step 3: Cross multiply
    218.60x = 301.63 × 135.78
  4. Step 4: Simplify right side
    218.60x = 40,955.32
  5. Step 5: Solve for x
    x = 40,955.32/218.60
  6. Step 6: Final answer
    x = 187.35

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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.