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Finding the Fourth Proportional to 297.78, 410.72 and 185.78

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Solution

The fourth proportional to 297.78, 410.72 and 185.78 is: 256.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.78 : 410.72 = 185.78 : x
  2. Step 2: Convert to fraction form
    297.78/410.72 = 185.78/x
  3. Step 3: Cross multiply
    297.78x = 410.72 × 185.78
  4. Step 4: Simplify right side
    297.78x = 76,303.56
  5. Step 5: Solve for x
    x = 76,303.56/297.78
  6. Step 6: Final answer
    x = 256.24

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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.