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Finding the Fourth Proportional to 467.12, 700.68 and 159.19

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Solution

The fourth proportional to 467.12, 700.68 and 159.19 is: 238.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.12 : 700.68 = 159.19 : x
  2. Step 2: Convert to fraction form
    467.12/700.68 = 159.19/x
  3. Step 3: Cross multiply
    467.12x = 700.68 × 159.19
  4. Step 4: Simplify right side
    467.12x = 111,543.00
  5. Step 5: Solve for x
    x = 111,543.00/467.12
  6. Step 6: Final answer
    x = 238.79

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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.