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Finding the Fourth Proportional to 174.29, 259.77 and 172.13

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Solution

The fourth proportional to 174.29, 259.77 and 172.13 is: 256.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.29 : 259.77 = 172.13 : x
  2. Step 2: Convert to fraction form
    174.29/259.77 = 172.13/x
  3. Step 3: Cross multiply
    174.29x = 259.77 × 172.13
  4. Step 4: Simplify right side
    174.29x = 44,713.56
  5. Step 5: Solve for x
    x = 44,713.56/174.29
  6. Step 6: Final answer
    x = 256.55

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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.