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Finding the Fourth Proportional to 297.10, 409.91 and 180.70

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Solution

The fourth proportional to 297.10, 409.91 and 180.70 is: 249.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.10 : 409.91 = 180.70 : x
  2. Step 2: Convert to fraction form
    297.10/409.91 = 180.70/x
  3. Step 3: Cross multiply
    297.10x = 409.91 × 180.70
  4. Step 4: Simplify right side
    297.10x = 74,070.74
  5. Step 5: Solve for x
    x = 74,070.74/297.10
  6. Step 6: Final answer
    x = 249.31

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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.