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Finding the Fourth Proportional to 268, 370.16 and 180.52

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Solution

The fourth proportional to 268, 370.16 and 180.52 is: 249.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    268 : 370.16 = 180.52 : x
  2. Step 2: Convert to fraction form
    268/370.16 = 180.52/x
  3. Step 3: Cross multiply
    268x = 370.16 × 180.52
  4. Step 4: Simplify right side
    268x = 66,821.28
  5. Step 5: Solve for x
    x = 66,821.28/268
  6. Step 6: Final answer
    x = 249.33

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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.