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Finding the Fourth Proportional to 170.06, 253.82 and 165.96

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Solution

The fourth proportional to 170.06, 253.82 and 165.96 is: 247.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.06 : 253.82 = 165.96 : x
  2. Step 2: Convert to fraction form
    170.06/253.82 = 165.96/x
  3. Step 3: Cross multiply
    170.06x = 253.82 × 165.96
  4. Step 4: Simplify right side
    170.06x = 42,123.97
  5. Step 5: Solve for x
    x = 42,123.97/170.06
  6. Step 6: Final answer
    x = 247.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.