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Finding the Fourth Proportional to 242.82, 364.20 and 105.84

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Solution

The fourth proportional to 242.82, 364.20 and 105.84 is: 158.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.82 : 364.20 = 105.84 : x
  2. Step 2: Convert to fraction form
    242.82/364.20 = 105.84/x
  3. Step 3: Cross multiply
    242.82x = 364.20 × 105.84
  4. Step 4: Simplify right side
    242.82x = 38,546.93
  5. Step 5: Solve for x
    x = 38,546.93/242.82
  6. Step 6: Final answer
    x = 158.75

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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.