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Finding the Fourth Proportional to 231.89, 347.81 and 151.07

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Solution

The fourth proportional to 231.89, 347.81 and 151.07 is: 226.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.89 : 347.81 = 151.07 : x
  2. Step 2: Convert to fraction form
    231.89/347.81 = 151.07/x
  3. Step 3: Cross multiply
    231.89x = 347.81 × 151.07
  4. Step 4: Simplify right side
    231.89x = 52,541.16
  5. Step 5: Solve for x
    x = 52,541.16/231.89
  6. Step 6: Final answer
    x = 226.58

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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.