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Finding the Fourth Proportional to 297.20, 410.06 and 172.87

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Solution

The fourth proportional to 297.20, 410.06 and 172.87 is: 238.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.20 : 410.06 = 172.87 : x
  2. Step 2: Convert to fraction form
    297.20/410.06 = 172.87/x
  3. Step 3: Cross multiply
    297.20x = 410.06 × 172.87
  4. Step 4: Simplify right side
    297.20x = 70,886.48
  5. Step 5: Solve for x
    x = 70,886.48/297.20
  6. Step 6: Final answer
    x = 238.52

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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.