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Finding the Fourth Proportional to 194.04, 291.24 and 85.86

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Solution

The fourth proportional to 194.04, 291.24 and 85.86 is: 128.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.04 : 291.24 = 85.86 : x
  2. Step 2: Convert to fraction form
    194.04/291.24 = 85.86/x
  3. Step 3: Cross multiply
    194.04x = 291.24 × 85.86
  4. Step 4: Simplify right side
    194.04x = 25,005.87
  5. Step 5: Solve for x
    x = 25,005.87/194.04
  6. Step 6: Final answer
    x = 128.87

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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.