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Finding the Fourth Proportional to 244.20, 364.14 and 242

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Solution

The fourth proportional to 244.20, 364.14 and 242 is: 360.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.20 : 364.14 = 242 : x
  2. Step 2: Convert to fraction form
    244.20/364.14 = 242/x
  3. Step 3: Cross multiply
    244.20x = 364.14 × 242
  4. Step 4: Simplify right side
    244.20x = 88,121.88
  5. Step 5: Solve for x
    x = 88,121.88/244.20
  6. Step 6: Final answer
    x = 360.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.