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Finding the Fourth Proportional to 297, 444.69 and 159.44

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Solution

The fourth proportional to 297, 444.69 and 159.44 is: 238.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    297 : 444.69 = 159.44 : x
  2. Step 2: Convert to fraction form
    297/444.69 = 159.44/x
  3. Step 3: Cross multiply
    297x = 444.69 × 159.44
  4. Step 4: Simplify right side
    297x = 70,899.15
  5. Step 5: Solve for x
    x = 70,899.15/297
  6. Step 6: Final answer
    x = 238.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.