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Finding the Fourth Proportional to 364.78, 547.17 and 121.24

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Solution

The fourth proportional to 364.78, 547.17 and 121.24 is: 181.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.78 : 547.17 = 121.24 : x
  2. Step 2: Convert to fraction form
    364.78/547.17 = 121.24/x
  3. Step 3: Cross multiply
    364.78x = 547.17 × 121.24
  4. Step 4: Simplify right side
    364.78x = 66,338.89
  5. Step 5: Solve for x
    x = 66,338.89/364.78
  6. Step 6: Final answer
    x = 181.86

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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.