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Finding the Fourth Proportional to 268.41, 370.46 and 151.97

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Solution

The fourth proportional to 268.41, 370.46 and 151.97 is: 209.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.41 : 370.46 = 151.97 : x
  2. Step 2: Convert to fraction form
    268.41/370.46 = 151.97/x
  3. Step 3: Cross multiply
    268.41x = 370.46 × 151.97
  4. Step 4: Simplify right side
    268.41x = 56,298.97
  5. Step 5: Solve for x
    x = 56,298.97/268.41
  6. Step 6: Final answer
    x = 209.75

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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.