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Finding the Fourth Proportional to 174.01, 259.03 and 171.41

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Solution

The fourth proportional to 174.01, 259.03 and 171.41 is: 255.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.01 : 259.03 = 171.41 : x
  2. Step 2: Convert to fraction form
    174.01/259.03 = 171.41/x
  3. Step 3: Cross multiply
    174.01x = 259.03 × 171.41
  4. Step 4: Simplify right side
    174.01x = 44,400.47
  5. Step 5: Solve for x
    x = 44,400.47/174.01
  6. Step 6: Final answer
    x = 255.16

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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.