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Finding the Fourth Proportional to 218.24, 301.25 and 125.07

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Solution

The fourth proportional to 218.24, 301.25 and 125.07 is: 172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.24 : 301.25 = 125.07 : x
  2. Step 2: Convert to fraction form
    218.24/301.25 = 125.07/x
  3. Step 3: Cross multiply
    218.24x = 301.25 × 125.07
  4. Step 4: Simplify right side
    218.24x = 37,677.50
  5. Step 5: Solve for x
    x = 37,677.50/218.24
  6. Step 6: Final answer
    x = 172.64

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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.