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Finding the Fourth Proportional to 367.88, 508.22 and 242.14

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Solution

The fourth proportional to 367.88, 508.22 and 242.14 is: 334.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.88 : 508.22 = 242.14 : x
  2. Step 2: Convert to fraction form
    367.88/508.22 = 242.14/x
  3. Step 3: Cross multiply
    367.88x = 508.22 × 242.14
  4. Step 4: Simplify right side
    367.88x = 123,060.39
  5. Step 5: Solve for x
    x = 123,060.39/367.88
  6. Step 6: Final answer
    x = 334.51

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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.