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Finding the Fourth Proportional to 231.17, 345.07 and 203.83

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Solution

The fourth proportional to 231.17, 345.07 and 203.83 is: 304.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.17 : 345.07 = 203.83 : x
  2. Step 2: Convert to fraction form
    231.17/345.07 = 203.83/x
  3. Step 3: Cross multiply
    231.17x = 345.07 × 203.83
  4. Step 4: Simplify right side
    231.17x = 70,335.01
  5. Step 5: Solve for x
    x = 70,335.01/231.17
  6. Step 6: Final answer
    x = 304.26

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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.