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Finding the Fourth Proportional to 268.07, 370.01 and 180.74

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Solution

The fourth proportional to 268.07, 370.01 and 180.74 is: 249.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.07 : 370.01 = 180.74 : x
  2. Step 2: Convert to fraction form
    268.07/370.01 = 180.74/x
  3. Step 3: Cross multiply
    268.07x = 370.01 × 180.74
  4. Step 4: Simplify right side
    268.07x = 66,876.98
  5. Step 5: Solve for x
    x = 66,876.98/268.07
  6. Step 6: Final answer
    x = 249.48

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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.