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Finding the Fourth Proportional to 194.84, 268.87 and 106.32

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Solution

The fourth proportional to 194.84, 268.87 and 106.32 is: 146.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.84 : 268.87 = 106.32 : x
  2. Step 2: Convert to fraction form
    194.84/268.87 = 106.32/x
  3. Step 3: Cross multiply
    194.84x = 268.87 × 106.32
  4. Step 4: Simplify right side
    194.84x = 28,586.26
  5. Step 5: Solve for x
    x = 28,586.26/194.84
  6. Step 6: Final answer
    x = 146.72

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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.