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Finding the Fourth Proportional to 332.74, 498.92 and 195.82

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Solution

The fourth proportional to 332.74, 498.92 and 195.82 is: 293.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.74 : 498.92 = 195.82 : x
  2. Step 2: Convert to fraction form
    332.74/498.92 = 195.82/x
  3. Step 3: Cross multiply
    332.74x = 498.92 × 195.82
  4. Step 4: Simplify right side
    332.74x = 97,698.51
  5. Step 5: Solve for x
    x = 97,698.51/332.74
  6. Step 6: Final answer
    x = 293.62

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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.