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Finding the Fourth Proportional to 297.30, 410.04 and 180.84

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Solution

The fourth proportional to 297.30, 410.04 and 180.84 is: 249.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.30 : 410.04 = 180.84 : x
  2. Step 2: Convert to fraction form
    297.30/410.04 = 180.84/x
  3. Step 3: Cross multiply
    297.30x = 410.04 × 180.84
  4. Step 4: Simplify right side
    297.30x = 74,151.63
  5. Step 5: Solve for x
    x = 74,151.63/297.30
  6. Step 6: Final answer
    x = 249.42

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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.