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Finding the Fourth Proportional to 231.23, 347.64 and 185.89

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Solution

The fourth proportional to 231.23, 347.64 and 185.89 is: 279.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.23 : 347.64 = 185.89 : x
  2. Step 2: Convert to fraction form
    231.23/347.64 = 185.89/x
  3. Step 3: Cross multiply
    231.23x = 347.64 × 185.89
  4. Step 4: Simplify right side
    231.23x = 64,621.93
  5. Step 5: Solve for x
    x = 64,621.93/231.23
  6. Step 6: Final answer
    x = 279.48

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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.