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Finding the Fourth Proportional to 240.98, 332.81 and 194.81

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Solution

The fourth proportional to 240.98, 332.81 and 194.81 is: 269.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.98 : 332.81 = 194.81 : x
  2. Step 2: Convert to fraction form
    240.98/332.81 = 194.81/x
  3. Step 3: Cross multiply
    240.98x = 332.81 × 194.81
  4. Step 4: Simplify right side
    240.98x = 64,832.81
  5. Step 5: Solve for x
    x = 64,832.81/240.98
  6. Step 6: Final answer
    x = 269.04

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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.