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Finding the Fourth Proportional to 175.99, 262.27 and 170.71

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Solution

The fourth proportional to 175.99, 262.27 and 170.71 is: 254.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.99 : 262.27 = 170.71 : x
  2. Step 2: Convert to fraction form
    175.99/262.27 = 170.71/x
  3. Step 3: Cross multiply
    175.99x = 262.27 × 170.71
  4. Step 4: Simplify right side
    175.99x = 44,772.11
  5. Step 5: Solve for x
    x = 44,772.11/175.99
  6. Step 6: Final answer
    x = 254.40

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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.