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Finding the Fourth Proportional to 218.29, 301.24 and 125.03

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Solution

The fourth proportional to 218.29, 301.24 and 125.03 is: 172.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.29 : 301.24 = 125.03 : x
  2. Step 2: Convert to fraction form
    218.29/301.24 = 125.03/x
  3. Step 3: Cross multiply
    218.29x = 301.24 × 125.03
  4. Step 4: Simplify right side
    218.29x = 37,664.17
  5. Step 5: Solve for x
    x = 37,664.17/218.29
  6. Step 6: Final answer
    x = 172.54

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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.