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Finding the Fourth Proportional to 194.63, 268.61 and 145.42

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Solution

The fourth proportional to 194.63, 268.61 and 145.42 is: 200.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.63 : 268.61 = 145.42 : x
  2. Step 2: Convert to fraction form
    194.63/268.61 = 145.42/x
  3. Step 3: Cross multiply
    194.63x = 268.61 × 145.42
  4. Step 4: Simplify right side
    194.63x = 39,061.92
  5. Step 5: Solve for x
    x = 39,061.92/194.63
  6. Step 6: Final answer
    x = 200.70

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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.