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Finding the Fourth Proportional to 194.57, 291.77 and 57.63

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Solution

The fourth proportional to 194.57, 291.77 and 57.63 is: 86.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.57 : 291.77 = 57.63 : x
  2. Step 2: Convert to fraction form
    194.57/291.77 = 57.63/x
  3. Step 3: Cross multiply
    194.57x = 291.77 × 57.63
  4. Step 4: Simplify right side
    194.57x = 16,814.42
  5. Step 5: Solve for x
    x = 16,814.42/194.57
  6. Step 6: Final answer
    x = 86.42

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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.