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Finding the Fourth Proportional to 467.22, 700.90 and 178.62

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Solution

The fourth proportional to 467.22, 700.90 and 178.62 is: 267.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.22 : 700.90 = 178.62 : x
  2. Step 2: Convert to fraction form
    467.22/700.90 = 178.62/x
  3. Step 3: Cross multiply
    467.22x = 700.90 × 178.62
  4. Step 4: Simplify right side
    467.22x = 125,194.76
  5. Step 5: Solve for x
    x = 125,194.76/467.22
  6. Step 6: Final answer
    x = 267.96

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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.