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Finding the Fourth Proportional to 467.27, 700.62 and 178.64

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Solution

The fourth proportional to 467.27, 700.62 and 178.64 is: 267.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.27 : 700.62 = 178.64 : x
  2. Step 2: Convert to fraction form
    467.27/700.62 = 178.64/x
  3. Step 3: Cross multiply
    467.27x = 700.62 × 178.64
  4. Step 4: Simplify right side
    467.27x = 125,155.25
  5. Step 5: Solve for x
    x = 125,155.25/467.27
  6. Step 6: Final answer
    x = 267.85

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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.