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Finding the Fourth Proportional to 273.78, 410.66 and 68.35

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Solution

The fourth proportional to 273.78, 410.66 and 68.35 is: 102.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.78 : 410.66 = 68.35 : x
  2. Step 2: Convert to fraction form
    273.78/410.66 = 68.35/x
  3. Step 3: Cross multiply
    273.78x = 410.66 × 68.35
  4. Step 4: Simplify right side
    273.78x = 28,068.61
  5. Step 5: Solve for x
    x = 28,068.61/273.78
  6. Step 6: Final answer
    x = 102.52

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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.