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Finding the Fourth Proportional to 194.88, 268.59 and 145.68

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Solution

The fourth proportional to 194.88, 268.59 and 145.68 is: 200.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.88 : 268.59 = 145.68 : x
  2. Step 2: Convert to fraction form
    194.88/268.59 = 145.68/x
  3. Step 3: Cross multiply
    194.88x = 268.59 × 145.68
  4. Step 4: Simplify right side
    194.88x = 39,127.73
  5. Step 5: Solve for x
    x = 39,127.73/194.88
  6. Step 6: Final answer
    x = 200.77

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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.