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Finding the Fourth Proportional to 240.76, 360.28 and 194.92

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Solution

The fourth proportional to 240.76, 360.28 and 194.92 is: 291.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.76 : 360.28 = 194.92 : x
  2. Step 2: Convert to fraction form
    240.76/360.28 = 194.92/x
  3. Step 3: Cross multiply
    240.76x = 360.28 × 194.92
  4. Step 4: Simplify right side
    240.76x = 70,225.78
  5. Step 5: Solve for x
    x = 70,225.78/240.76
  6. Step 6: Final answer
    x = 291.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.