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Finding the Fourth Proportional to 170.04, 254.98 and 137.46

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Solution

The fourth proportional to 170.04, 254.98 and 137.46 is: 206.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.04 : 254.98 = 137.46 : x
  2. Step 2: Convert to fraction form
    170.04/254.98 = 137.46/x
  3. Step 3: Cross multiply
    170.04x = 254.98 × 137.46
  4. Step 4: Simplify right side
    170.04x = 35,049.55
  5. Step 5: Solve for x
    x = 35,049.55/170.04
  6. Step 6: Final answer
    x = 206.13

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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.