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Finding the Fourth Proportional to 398.25, 597.27 and 178.75

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Solution

The fourth proportional to 398.25, 597.27 and 178.75 is: 268.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.25 : 597.27 = 178.75 : x
  2. Step 2: Convert to fraction form
    398.25/597.27 = 178.75/x
  3. Step 3: Cross multiply
    398.25x = 597.27 × 178.75
  4. Step 4: Simplify right side
    398.25x = 106,762.01
  5. Step 5: Solve for x
    x = 106,762.01/398.25
  6. Step 6: Final answer
    x = 268.08

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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.