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Finding the Fourth Proportional to 175.18, 264.31 and 169.12

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Solution

The fourth proportional to 175.18, 264.31 and 169.12 is: 255.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.18 : 264.31 = 169.12 : x
  2. Step 2: Convert to fraction form
    175.18/264.31 = 169.12/x
  3. Step 3: Cross multiply
    175.18x = 264.31 × 169.12
  4. Step 4: Simplify right side
    175.18x = 44,700.11
  5. Step 5: Solve for x
    x = 44,700.11/175.18
  6. Step 6: Final answer
    x = 255.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.