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Finding the Fourth Proportional to 194.36, 268.29 and 128.95

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Solution

The fourth proportional to 194.36, 268.29 and 128.95 is: 178.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.36 : 268.29 = 128.95 : x
  2. Step 2: Convert to fraction form
    194.36/268.29 = 128.95/x
  3. Step 3: Cross multiply
    194.36x = 268.29 × 128.95
  4. Step 4: Simplify right side
    194.36x = 34,595.32
  5. Step 5: Solve for x
    x = 34,595.32/194.36
  6. Step 6: Final answer
    x = 178.00

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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.