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Finding the Fourth Proportional to 467.48, 701.22 and 178.94

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Solution

The fourth proportional to 467.48, 701.22 and 178.94 is: 268.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.48 : 701.22 = 178.94 : x
  2. Step 2: Convert to fraction form
    467.48/701.22 = 178.94/x
  3. Step 3: Cross multiply
    467.48x = 701.22 × 178.94
  4. Step 4: Simplify right side
    467.48x = 125,476.31
  5. Step 5: Solve for x
    x = 125,476.31/467.48
  6. Step 6: Final answer
    x = 268.41

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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.