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Finding the Fourth Proportional to 231.30, 318.83 and 157.49

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Solution

The fourth proportional to 231.30, 318.83 and 157.49 is: 217.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.30 : 318.83 = 157.49 : x
  2. Step 2: Convert to fraction form
    231.30/318.83 = 157.49/x
  3. Step 3: Cross multiply
    231.30x = 318.83 × 157.49
  4. Step 4: Simplify right side
    231.30x = 50,210.16
  5. Step 5: Solve for x
    x = 50,210.16/231.30
  6. Step 6: Final answer
    x = 217.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.