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Finding the Fourth Proportional to 278.74, 417.50 and 170.20

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Solution

The fourth proportional to 278.74, 417.50 and 170.20 is: 254.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.74 : 417.50 = 170.20 : x
  2. Step 2: Convert to fraction form
    278.74/417.50 = 170.20/x
  3. Step 3: Cross multiply
    278.74x = 417.50 × 170.20
  4. Step 4: Simplify right side
    278.74x = 71,055.56
  5. Step 5: Solve for x
    x = 71,055.56/278.74
  6. Step 6: Final answer
    x = 254.92

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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.