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Finding the Fourth Proportional to 170.93, 254.77 and 170.66

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Solution

The fourth proportional to 170.93, 254.77 and 170.66 is: 254.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.93 : 254.77 = 170.66 : x
  2. Step 2: Convert to fraction form
    170.93/254.77 = 170.66/x
  3. Step 3: Cross multiply
    170.93x = 254.77 × 170.66
  4. Step 4: Simplify right side
    170.93x = 43,479.05
  5. Step 5: Solve for x
    x = 43,479.05/170.93
  6. Step 6: Final answer
    x = 254.37

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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.