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Finding the Fourth Proportional to 185.29, 277.90 and 94.03

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Solution

The fourth proportional to 185.29, 277.90 and 94.03 is: 141.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.29 : 277.90 = 94.03 : x
  2. Step 2: Convert to fraction form
    185.29/277.90 = 94.03/x
  3. Step 3: Cross multiply
    185.29x = 277.90 × 94.03
  4. Step 4: Simplify right side
    185.29x = 26,130.01
  5. Step 5: Solve for x
    x = 26,130.01/185.29
  6. Step 6: Final answer
    x = 141.02

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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.