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Finding the Fourth Proportional to 194.34, 267.93 and 128.82

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Solution

The fourth proportional to 194.34, 267.93 and 128.82 is: 177.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.34 : 267.93 = 128.82 : x
  2. Step 2: Convert to fraction form
    194.34/267.93 = 128.82/x
  3. Step 3: Cross multiply
    194.34x = 267.93 × 128.82
  4. Step 4: Simplify right side
    194.34x = 34,514.74
  5. Step 5: Solve for x
    x = 34,514.74/194.34
  6. Step 6: Final answer
    x = 177.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.