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Finding the Fourth Proportional to 194.66, 268.62 and 106.13

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Solution

The fourth proportional to 194.66, 268.62 and 106.13 is: 146.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.66 : 268.62 = 106.13 : x
  2. Step 2: Convert to fraction form
    194.66/268.62 = 106.13/x
  3. Step 3: Cross multiply
    194.66x = 268.62 × 106.13
  4. Step 4: Simplify right side
    194.66x = 28,509.31
  5. Step 5: Solve for x
    x = 28,509.31/194.66
  6. Step 6: Final answer
    x = 146.46

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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.