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Finding the Fourth Proportional to 467.35, 700.96 and 178.75

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Solution

The fourth proportional to 467.35, 700.96 and 178.75 is: 268.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.35 : 700.96 = 178.75 : x
  2. Step 2: Convert to fraction form
    467.35/700.96 = 178.75/x
  3. Step 3: Cross multiply
    467.35x = 700.96 × 178.75
  4. Step 4: Simplify right side
    467.35x = 125,296.60
  5. Step 5: Solve for x
    x = 125,296.60/467.35
  6. Step 6: Final answer
    x = 268.10

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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.