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Finding the Fourth Proportional to 175.84, 262.25 and 171.52

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Solution

The fourth proportional to 175.84, 262.25 and 171.52 is: 255.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.84 : 262.25 = 171.52 : x
  2. Step 2: Convert to fraction form
    175.84/262.25 = 171.52/x
  3. Step 3: Cross multiply
    175.84x = 262.25 × 171.52
  4. Step 4: Simplify right side
    175.84x = 44,981.12
  5. Step 5: Solve for x
    x = 44,981.12/175.84
  6. Step 6: Final answer
    x = 255.81

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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.