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Finding the Fourth Proportional to 367.11, 506.57 and 242.53

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Solution

The fourth proportional to 367.11, 506.57 and 242.53 is: 334.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.11 : 506.57 = 242.53 : x
  2. Step 2: Convert to fraction form
    367.11/506.57 = 242.53/x
  3. Step 3: Cross multiply
    367.11x = 506.57 × 242.53
  4. Step 4: Simplify right side
    367.11x = 122,855.94
  5. Step 5: Solve for x
    x = 122,855.94/367.11
  6. Step 6: Final answer
    x = 334.66

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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.