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Finding the Fourth Proportional to 467.38, 700.66 and 193.30

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Solution

The fourth proportional to 467.38, 700.66 and 193.30 is: 289.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.38 : 700.66 = 193.30 : x
  2. Step 2: Convert to fraction form
    467.38/700.66 = 193.30/x
  3. Step 3: Cross multiply
    467.38x = 700.66 × 193.30
  4. Step 4: Simplify right side
    467.38x = 135,437.58
  5. Step 5: Solve for x
    x = 135,437.58/467.38
  6. Step 6: Final answer
    x = 289.78

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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.