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Finding the Fourth Proportional to 467.64, 701.50 and 178.92

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Solution

The fourth proportional to 467.64, 701.50 and 178.92 is: 268.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.64 : 701.50 = 178.92 : x
  2. Step 2: Convert to fraction form
    467.64/701.50 = 178.92/x
  3. Step 3: Cross multiply
    467.64x = 701.50 × 178.92
  4. Step 4: Simplify right side
    467.64x = 125,512.38
  5. Step 5: Solve for x
    x = 125,512.38/467.64
  6. Step 6: Final answer
    x = 268.40

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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.