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Finding the Fourth Proportional to 170.13, 255.05 and 145.66

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Solution

The fourth proportional to 170.13, 255.05 and 145.66 is: 218.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.13 : 255.05 = 145.66 : x
  2. Step 2: Convert to fraction form
    170.13/255.05 = 145.66/x
  3. Step 3: Cross multiply
    170.13x = 255.05 × 145.66
  4. Step 4: Simplify right side
    170.13x = 37,149.76
  5. Step 5: Solve for x
    x = 37,149.76/170.13
  6. Step 6: Final answer
    x = 218.37

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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.