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Finding the Fourth Proportional to 297.78, 410.70 and 187.22

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Solution

The fourth proportional to 297.78, 410.70 and 187.22 is: 258.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.78 : 410.70 = 187.22 : x
  2. Step 2: Convert to fraction form
    297.78/410.70 = 187.22/x
  3. Step 3: Cross multiply
    297.78x = 410.70 × 187.22
  4. Step 4: Simplify right side
    297.78x = 76,891.25
  5. Step 5: Solve for x
    x = 76,891.25/297.78
  6. Step 6: Final answer
    x = 258.21

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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.