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Finding the Fourth Proportional to 194.67, 291.93 and 103.32

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Solution

The fourth proportional to 194.67, 291.93 and 103.32 is: 154.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.67 : 291.93 = 103.32 : x
  2. Step 2: Convert to fraction form
    194.67/291.93 = 103.32/x
  3. Step 3: Cross multiply
    194.67x = 291.93 × 103.32
  4. Step 4: Simplify right side
    194.67x = 30,162.21
  5. Step 5: Solve for x
    x = 30,162.21/194.67
  6. Step 6: Final answer
    x = 154.94

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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.