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Finding the Fourth Proportional to 194.13, 268.13 and 145.22

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Solution

The fourth proportional to 194.13, 268.13 and 145.22 is: 200.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.13 : 268.13 = 145.22 : x
  2. Step 2: Convert to fraction form
    194.13/268.13 = 145.22/x
  3. Step 3: Cross multiply
    194.13x = 268.13 × 145.22
  4. Step 4: Simplify right side
    194.13x = 38,937.84
  5. Step 5: Solve for x
    x = 38,937.84/194.13
  6. Step 6: Final answer
    x = 200.58

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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.