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Finding the Fourth Proportional to 170.48, 255.32 and 98.32

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Solution

The fourth proportional to 170.48, 255.32 and 98.32 is: 147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.48 : 255.32 = 98.32 : x
  2. Step 2: Convert to fraction form
    170.48/255.32 = 98.32/x
  3. Step 3: Cross multiply
    170.48x = 255.32 × 98.32
  4. Step 4: Simplify right side
    170.48x = 25,103.06
  5. Step 5: Solve for x
    x = 25,103.06/170.48
  6. Step 6: Final answer
    x = 147.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.