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Finding the Fourth Proportional to 194.41, 291.61 and 64.40

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Solution

The fourth proportional to 194.41, 291.61 and 64.40 is: 96.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.41 : 291.61 = 64.40 : x
  2. Step 2: Convert to fraction form
    194.41/291.61 = 64.40/x
  3. Step 3: Cross multiply
    194.41x = 291.61 × 64.40
  4. Step 4: Simplify right side
    194.41x = 18,777.90
  5. Step 5: Solve for x
    x = 18,777.90/194.41
  6. Step 6: Final answer
    x = 96.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.