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Finding the Fourth Proportional to 268.13, 369.70 and 180.65

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Solution

The fourth proportional to 268.13, 369.70 and 180.65 is: 249.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.13 : 369.70 = 180.65 : x
  2. Step 2: Convert to fraction form
    268.13/369.70 = 180.65/x
  3. Step 3: Cross multiply
    268.13x = 369.70 × 180.65
  4. Step 4: Simplify right side
    268.13x = 66,784.00
  5. Step 5: Solve for x
    x = 66,784.00/268.13
  6. Step 6: Final answer
    x = 249.08

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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.