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Finding the Fourth Proportional to 467.28, 700.86 and 178.80

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Solution

The fourth proportional to 467.28, 700.86 and 178.80 is: 268.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.28 : 700.86 = 178.80 : x
  2. Step 2: Convert to fraction form
    467.28/700.86 = 178.80/x
  3. Step 3: Cross multiply
    467.28x = 700.86 × 178.80
  4. Step 4: Simplify right side
    467.28x = 125,313.77
  5. Step 5: Solve for x
    x = 125,313.77/467.28
  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.