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Finding the Fourth Proportional to 468.02, 701.39 and 179.30

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Solution

The fourth proportional to 468.02, 701.39 and 179.30 is: 268.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.02 : 701.39 = 179.30 : x
  2. Step 2: Convert to fraction form
    468.02/701.39 = 179.30/x
  3. Step 3: Cross multiply
    468.02x = 701.39 × 179.30
  4. Step 4: Simplify right side
    468.02x = 125,761.43
  5. Step 5: Solve for x
    x = 125,761.43/468.02
  6. Step 6: Final answer
    x = 268.71

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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.