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Finding the Fourth Proportional to 398.22, 597.47 and 178.82

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Solution

The fourth proportional to 398.22, 597.47 and 178.82 is: 268.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.22 : 597.47 = 178.82 : x
  2. Step 2: Convert to fraction form
    398.22/597.47 = 178.82/x
  3. Step 3: Cross multiply
    398.22x = 597.47 × 178.82
  4. Step 4: Simplify right side
    398.22x = 106,838.69
  5. Step 5: Solve for x
    x = 106,838.69/398.22
  6. Step 6: Final answer
    x = 268.29

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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.