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Finding the Fourth Proportional to 307.75, 424.71 and 169.75

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Solution

The fourth proportional to 307.75, 424.71 and 169.75 is: 234.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.75 : 424.71 = 169.75 : x
  2. Step 2: Convert to fraction form
    307.75/424.71 = 169.75/x
  3. Step 3: Cross multiply
    307.75x = 424.71 × 169.75
  4. Step 4: Simplify right side
    307.75x = 72,093.67
  5. Step 5: Solve for x
    x = 72,093.67/307.75
  6. Step 6: Final answer
    x = 234.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.