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Finding the Fourth Proportional to 194.87, 292.55 and 118.06

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Solution

The fourth proportional to 194.87, 292.55 and 118.06 is: 177.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.87 : 292.55 = 118.06 : x
  2. Step 2: Convert to fraction form
    194.87/292.55 = 118.06/x
  3. Step 3: Cross multiply
    194.87x = 292.55 × 118.06
  4. Step 4: Simplify right side
    194.87x = 34,537.13
  5. Step 5: Solve for x
    x = 34,537.13/194.87
  6. Step 6: Final answer
    x = 177.23

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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.