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Finding the Fourth Proportional to 278.15, 417.06 and 170.02

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Solution

The fourth proportional to 278.15, 417.06 and 170.02 is: 254.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.15 : 417.06 = 170.02 : x
  2. Step 2: Convert to fraction form
    278.15/417.06 = 170.02/x
  3. Step 3: Cross multiply
    278.15x = 417.06 × 170.02
  4. Step 4: Simplify right side
    278.15x = 70,906.46
  5. Step 5: Solve for x
    x = 70,906.46/278.15
  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.