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Finding the Fourth Proportional to 297, 409.86 and 180.63

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Solution

The fourth proportional to 297, 409.86 and 180.63 is: 249.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    297 : 409.86 = 180.63 : x
  2. Step 2: Convert to fraction form
    297/409.86 = 180.63/x
  3. Step 3: Cross multiply
    297x = 409.86 × 180.63
  4. Step 4: Simplify right side
    297x = 74,033.01
  5. Step 5: Solve for x
    x = 74,033.01/297
  6. Step 6: Final answer
    x = 249.27

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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.