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Finding the Fourth Proportional to 467.82, 701.82 and 193.95

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Solution

The fourth proportional to 467.82, 701.82 and 193.95 is: 290.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.82 : 701.82 = 193.95 : x
  2. Step 2: Convert to fraction form
    467.82/701.82 = 193.95/x
  3. Step 3: Cross multiply
    467.82x = 701.82 × 193.95
  4. Step 4: Simplify right side
    467.82x = 136,117.99
  5. Step 5: Solve for x
    x = 136,117.99/467.82
  6. Step 6: Final answer
    x = 290.96

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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.