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Finding the Fourth Proportional to 231.24, 345.22 and 203.90

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Solution

The fourth proportional to 231.24, 345.22 and 203.90 is: 304.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.24 : 345.22 = 203.90 : x
  2. Step 2: Convert to fraction form
    231.24/345.22 = 203.90/x
  3. Step 3: Cross multiply
    231.24x = 345.22 × 203.90
  4. Step 4: Simplify right side
    231.24x = 70,390.36
  5. Step 5: Solve for x
    x = 70,390.36/231.24
  6. Step 6: Final answer
    x = 304.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.