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Finding the Fourth Proportional to 268.57, 370.56 and 180.02

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Solution

The fourth proportional to 268.57, 370.56 and 180.02 is: 248.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.57 : 370.56 = 180.02 : x
  2. Step 2: Convert to fraction form
    268.57/370.56 = 180.02/x
  3. Step 3: Cross multiply
    268.57x = 370.56 × 180.02
  4. Step 4: Simplify right side
    268.57x = 66,708.58
  5. Step 5: Solve for x
    x = 66,708.58/268.57
  6. Step 6: Final answer
    x = 248.38

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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.