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Finding the Fourth Proportional to 467.76, 701.82 and 193.80

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Solution

The fourth proportional to 467.76, 701.82 and 193.80 is: 290.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.76 : 701.82 = 193.80 : x
  2. Step 2: Convert to fraction form
    467.76/701.82 = 193.80/x
  3. Step 3: Cross multiply
    467.76x = 701.82 × 193.80
  4. Step 4: Simplify right side
    467.76x = 136,012.72
  5. Step 5: Solve for x
    x = 136,012.72/467.76
  6. Step 6: Final answer
    x = 290.77

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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.