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Finding the Fourth Proportional to 194.61, 291.82 and 57.62

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Solution

The fourth proportional to 194.61, 291.82 and 57.62 is: 86.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.61 : 291.82 = 57.62 : x
  2. Step 2: Convert to fraction form
    194.61/291.82 = 57.62/x
  3. Step 3: Cross multiply
    194.61x = 291.82 × 57.62
  4. Step 4: Simplify right side
    194.61x = 16,813.72
  5. Step 5: Solve for x
    x = 16,813.72/194.61
  6. Step 6: Final answer
    x = 86.40

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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.