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Finding the Fourth Proportional to 467.01, 700.68 and 178.65

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Solution

The fourth proportional to 467.01, 700.68 and 178.65 is: 268.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.01 : 700.68 = 178.65 : x
  2. Step 2: Convert to fraction form
    467.01/700.68 = 178.65/x
  3. Step 3: Cross multiply
    467.01x = 700.68 × 178.65
  4. Step 4: Simplify right side
    467.01x = 125,176.48
  5. Step 5: Solve for x
    x = 125,176.48/467.01
  6. Step 6: Final answer
    x = 268.04

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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.