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Finding the Fourth Proportional to 175.57, 261.71 and 173.95

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Solution

The fourth proportional to 175.57, 261.71 and 173.95 is: 259.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.57 : 261.71 = 173.95 : x
  2. Step 2: Convert to fraction form
    175.57/261.71 = 173.95/x
  3. Step 3: Cross multiply
    175.57x = 261.71 × 173.95
  4. Step 4: Simplify right side
    175.57x = 45,524.45
  5. Step 5: Solve for x
    x = 45,524.45/175.57
  6. Step 6: Final answer
    x = 259.30

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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.