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Finding the Fourth Proportional to 218.71, 301.62 and 145

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Solution

The fourth proportional to 218.71, 301.62 and 145 is: 199.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.71 : 301.62 = 145 : x
  2. Step 2: Convert to fraction form
    218.71/301.62 = 145/x
  3. Step 3: Cross multiply
    218.71x = 301.62 × 145
  4. Step 4: Simplify right side
    218.71x = 43,734.90
  5. Step 5: Solve for x
    x = 43,734.90/218.71
  6. Step 6: Final answer
    x = 199.97

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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.