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Finding the Fourth Proportional to 170.96, 256.08 and 166.10

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Solution

The fourth proportional to 170.96, 256.08 and 166.10 is: 248.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.96 : 256.08 = 166.10 : x
  2. Step 2: Convert to fraction form
    170.96/256.08 = 166.10/x
  3. Step 3: Cross multiply
    170.96x = 256.08 × 166.10
  4. Step 4: Simplify right side
    170.96x = 42,534.89
  5. Step 5: Solve for x
    x = 42,534.89/170.96
  6. Step 6: Final answer
    x = 248.80

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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.