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Finding the Fourth Proportional to 170.39, 255.18 and 145.88

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Solution

The fourth proportional to 170.39, 255.18 and 145.88 is: 218.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.39 : 255.18 = 145.88 : x
  2. Step 2: Convert to fraction form
    170.39/255.18 = 145.88/x
  3. Step 3: Cross multiply
    170.39x = 255.18 × 145.88
  4. Step 4: Simplify right side
    170.39x = 37,224.38
  5. Step 5: Solve for x
    x = 37,224.38/170.39
  6. Step 6: Final answer
    x = 218.46

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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.