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Finding the Fourth Proportional to 467.90, 702 and 194.02

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Solution

The fourth proportional to 467.90, 702 and 194.02 is: 291.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.90 : 702 = 194.02 : x
  2. Step 2: Convert to fraction form
    467.90/702 = 194.02/x
  3. Step 3: Cross multiply
    467.90x = 702 × 194.02
  4. Step 4: Simplify right side
    467.90x = 136,202.04
  5. Step 5: Solve for x
    x = 136,202.04/467.90
  6. Step 6: Final answer
    x = 291.09

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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.