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Finding the Fourth Proportional to 242.44, 364.14 and 194.92

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Solution

The fourth proportional to 242.44, 364.14 and 194.92 is: 292.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.44 : 364.14 = 194.92 : x
  2. Step 2: Convert to fraction form
    242.44/364.14 = 194.92/x
  3. Step 3: Cross multiply
    242.44x = 364.14 × 194.92
  4. Step 4: Simplify right side
    242.44x = 70,978.17
  5. Step 5: Solve for x
    x = 70,978.17/242.44
  6. Step 6: Final answer
    x = 292.77

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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.