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Finding the Fourth Proportional to 467.50, 701.38 and 179.02

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Solution

The fourth proportional to 467.50, 701.38 and 179.02 is: 268.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.50 : 701.38 = 179.02 : x
  2. Step 2: Convert to fraction form
    467.50/701.38 = 179.02/x
  3. Step 3: Cross multiply
    467.50x = 701.38 × 179.02
  4. Step 4: Simplify right side
    467.50x = 125,561.05
  5. Step 5: Solve for x
    x = 125,561.05/467.50
  6. Step 6: Final answer
    x = 268.58

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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.