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Finding the Fourth Proportional to 194.49, 291.29 and 103.14

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Solution

The fourth proportional to 194.49, 291.29 and 103.14 is: 154.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.49 : 291.29 = 103.14 : x
  2. Step 2: Convert to fraction form
    194.49/291.29 = 103.14/x
  3. Step 3: Cross multiply
    194.49x = 291.29 × 103.14
  4. Step 4: Simplify right side
    194.49x = 30,043.13
  5. Step 5: Solve for x
    x = 30,043.13/194.49
  6. Step 6: Final answer
    x = 154.47

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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.