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Finding the Fourth Proportional to 467.08, 700.78 and 159

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Solution

The fourth proportional to 467.08, 700.78 and 159 is: 238.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.08 : 700.78 = 159 : x
  2. Step 2: Convert to fraction form
    467.08/700.78 = 159/x
  3. Step 3: Cross multiply
    467.08x = 700.78 × 159
  4. Step 4: Simplify right side
    467.08x = 111,424.02
  5. Step 5: Solve for x
    x = 111,424.02/467.08
  6. Step 6: Final answer
    x = 238.55

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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.