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Finding the Fourth Proportional to 194.51, 268.34 and 129.10

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Solution

The fourth proportional to 194.51, 268.34 and 129.10 is: 178.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.51 : 268.34 = 129.10 : x
  2. Step 2: Convert to fraction form
    194.51/268.34 = 129.10/x
  3. Step 3: Cross multiply
    194.51x = 268.34 × 129.10
  4. Step 4: Simplify right side
    194.51x = 34,642.69
  5. Step 5: Solve for x
    x = 34,642.69/194.51
  6. Step 6: Final answer
    x = 178.10

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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.