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Finding the Fourth Proportional to 467.78, 701.26 and 179.02

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Solution

The fourth proportional to 467.78, 701.26 and 179.02 is: 268.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.78 : 701.26 = 179.02 : x
  2. Step 2: Convert to fraction form
    467.78/701.26 = 179.02/x
  3. Step 3: Cross multiply
    467.78x = 701.26 × 179.02
  4. Step 4: Simplify right side
    467.78x = 125,537.06
  5. Step 5: Solve for x
    x = 125,537.06/467.78
  6. Step 6: Final answer
    x = 268.37

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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.