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Finding the Fourth Proportional to 467.98, 701.64 and 193.99

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Solution

The fourth proportional to 467.98, 701.64 and 193.99 is: 290.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.98 : 701.64 = 193.99 : x
  2. Step 2: Convert to fraction form
    467.98/701.64 = 193.99/x
  3. Step 3: Cross multiply
    467.98x = 701.64 × 193.99
  4. Step 4: Simplify right side
    467.98x = 136,111.14
  5. Step 5: Solve for x
    x = 136,111.14/467.98
  6. Step 6: Final answer
    x = 290.85

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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.