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Finding the Fourth Proportional to 170.95, 256.38 and 98.86

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Solution

The fourth proportional to 170.95, 256.38 and 98.86 is: 148.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.95 : 256.38 = 98.86 : x
  2. Step 2: Convert to fraction form
    170.95/256.38 = 98.86/x
  3. Step 3: Cross multiply
    170.95x = 256.38 × 98.86
  4. Step 4: Simplify right side
    170.95x = 25,345.73
  5. Step 5: Solve for x
    x = 25,345.73/170.95
  6. Step 6: Final answer
    x = 148.26

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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.