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Finding the Fourth Proportional to 367.31, 551.16 and 184.74

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Solution

The fourth proportional to 367.31, 551.16 and 184.74 is: 277.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.31 : 551.16 = 184.74 : x
  2. Step 2: Convert to fraction form
    367.31/551.16 = 184.74/x
  3. Step 3: Cross multiply
    367.31x = 551.16 × 184.74
  4. Step 4: Simplify right side
    367.31x = 101,821.30
  5. Step 5: Solve for x
    x = 101,821.30/367.31
  6. Step 6: Final answer
    x = 277.21

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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.