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Finding the Fourth Proportional to 367.71, 551.31 and 194.19

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Solution

The fourth proportional to 367.71, 551.31 and 194.19 is: 291.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.71 : 551.31 = 194.19 : x
  2. Step 2: Convert to fraction form
    367.71/551.31 = 194.19/x
  3. Step 3: Cross multiply
    367.71x = 551.31 × 194.19
  4. Step 4: Simplify right side
    367.71x = 107,055.16
  5. Step 5: Solve for x
    x = 107,055.16/367.71
  6. Step 6: Final answer
    x = 291.14

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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.