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Finding the Fourth Proportional to 174.03, 259.48 and 170.95

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Solution

The fourth proportional to 174.03, 259.48 and 170.95 is: 254.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.03 : 259.48 = 170.95 : x
  2. Step 2: Convert to fraction form
    174.03/259.48 = 170.95/x
  3. Step 3: Cross multiply
    174.03x = 259.48 × 170.95
  4. Step 4: Simplify right side
    174.03x = 44,359.29
  5. Step 5: Solve for x
    x = 44,359.29/174.03
  6. Step 6: Final answer
    x = 254.90

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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.