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Finding the Fourth Proportional to 367.14, 506.40 and 242.83

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Solution

The fourth proportional to 367.14, 506.40 and 242.83 is: 334.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.14 : 506.40 = 242.83 : x
  2. Step 2: Convert to fraction form
    367.14/506.40 = 242.83/x
  3. Step 3: Cross multiply
    367.14x = 506.40 × 242.83
  4. Step 4: Simplify right side
    367.14x = 122,969.11
  5. Step 5: Solve for x
    x = 122,969.11/367.14
  6. Step 6: Final answer
    x = 334.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.