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Finding the Fourth Proportional to 194.84, 291.42 and 162.12

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Solution

The fourth proportional to 194.84, 291.42 and 162.12 is: 242.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.84 : 291.42 = 162.12 : x
  2. Step 2: Convert to fraction form
    194.84/291.42 = 162.12/x
  3. Step 3: Cross multiply
    194.84x = 291.42 × 162.12
  4. Step 4: Simplify right side
    194.84x = 47,245.01
  5. Step 5: Solve for x
    x = 47,245.01/194.84
  6. Step 6: Final answer
    x = 242.48

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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.