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Finding the Fourth Proportional to 297.18, 410.67 and 268.02

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Solution

The fourth proportional to 297.18, 410.67 and 268.02 is: 370.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.18 : 410.67 = 268.02 : x
  2. Step 2: Convert to fraction form
    297.18/410.67 = 268.02/x
  3. Step 3: Cross multiply
    297.18x = 410.67 × 268.02
  4. Step 4: Simplify right side
    297.18x = 110,067.77
  5. Step 5: Solve for x
    x = 110,067.77/297.18
  6. Step 6: Final answer
    x = 370.37

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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.