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Finding the Fourth Proportional to 185.98, 278.94 and 94.72

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Solution

The fourth proportional to 185.98, 278.94 and 94.72 is: 142.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.98 : 278.94 = 94.72 : x
  2. Step 2: Convert to fraction form
    185.98/278.94 = 94.72/x
  3. Step 3: Cross multiply
    185.98x = 278.94 × 94.72
  4. Step 4: Simplify right side
    185.98x = 26,421.20
  5. Step 5: Solve for x
    x = 26,421.20/185.98
  6. Step 6: Final answer
    x = 142.06

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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.