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Finding the Fourth Proportional to 274.06, 410.97 and 145.78

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Solution

The fourth proportional to 274.06, 410.97 and 145.78 is: 218.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.06 : 410.97 = 145.78 : x
  2. Step 2: Convert to fraction form
    274.06/410.97 = 145.78/x
  3. Step 3: Cross multiply
    274.06x = 410.97 × 145.78
  4. Step 4: Simplify right side
    274.06x = 59,911.21
  5. Step 5: Solve for x
    x = 59,911.21/274.06
  6. Step 6: Final answer
    x = 218.61

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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.