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Finding the Fourth Proportional to 194.27, 291.41 and 96.77

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Solution

The fourth proportional to 194.27, 291.41 and 96.77 is: 145.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.27 : 291.41 = 96.77 : x
  2. Step 2: Convert to fraction form
    194.27/291.41 = 96.77/x
  3. Step 3: Cross multiply
    194.27x = 291.41 × 96.77
  4. Step 4: Simplify right side
    194.27x = 28,200.72
  5. Step 5: Solve for x
    x = 28,200.72/194.27
  6. Step 6: Final answer
    x = 145.16

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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.