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Finding the Fourth Proportional to 467.29, 701.07 and 178.75

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Solution

The fourth proportional to 467.29, 701.07 and 178.75 is: 268.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.29 : 701.07 = 178.75 : x
  2. Step 2: Convert to fraction form
    467.29/701.07 = 178.75/x
  3. Step 3: Cross multiply
    467.29x = 701.07 × 178.75
  4. Step 4: Simplify right side
    467.29x = 125,316.26
  5. Step 5: Solve for x
    x = 125,316.26/467.29
  6. Step 6: Final answer
    x = 268.18

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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.