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Finding the Fourth Proportional to 194.61, 291.63 and 103.35

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Solution

The fourth proportional to 194.61, 291.63 and 103.35 is: 154.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.61 : 291.63 = 103.35 : x
  2. Step 2: Convert to fraction form
    194.61/291.63 = 103.35/x
  3. Step 3: Cross multiply
    194.61x = 291.63 × 103.35
  4. Step 4: Simplify right side
    194.61x = 30,139.96
  5. Step 5: Solve for x
    x = 30,139.96/194.61
  6. Step 6: Final answer
    x = 154.87

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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.