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Finding the Fourth Proportional to 193.79, 290.68 and 56.86

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Solution

The fourth proportional to 193.79, 290.68 and 56.86 is: 85.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.79 : 290.68 = 56.86 : x
  2. Step 2: Convert to fraction form
    193.79/290.68 = 56.86/x
  3. Step 3: Cross multiply
    193.79x = 290.68 × 56.86
  4. Step 4: Simplify right side
    193.79x = 16,527.20
  5. Step 5: Solve for x
    x = 16,527.20/193.79
  6. Step 6: Final answer
    x = 85.28

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