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Finding the Fourth Proportional to 467.93, 702.22 and 179.37

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Solution

The fourth proportional to 467.93, 702.22 and 179.37 is: 269.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.93 : 702.22 = 179.37 : x
  2. Step 2: Convert to fraction form
    467.93/702.22 = 179.37/x
  3. Step 3: Cross multiply
    467.93x = 702.22 × 179.37
  4. Step 4: Simplify right side
    467.93x = 125,956.30
  5. Step 5: Solve for x
    x = 125,956.30/467.93
  6. Step 6: Final answer
    x = 269.18

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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.