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Finding the Fourth Proportional to 297.33, 410.02 and 180.82

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Solution

The fourth proportional to 297.33, 410.02 and 180.82 is: 249.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.33 : 410.02 = 180.82 : x
  2. Step 2: Convert to fraction form
    297.33/410.02 = 180.82/x
  3. Step 3: Cross multiply
    297.33x = 410.02 × 180.82
  4. Step 4: Simplify right side
    297.33x = 74,139.82
  5. Step 5: Solve for x
    x = 74,139.82/297.33
  6. Step 6: Final answer
    x = 249.35

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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.