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Finding the Fourth Proportional to 228.31, 315.03 and 141.10

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Solution

The fourth proportional to 228.31, 315.03 and 141.10 is: 194.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.31 : 315.03 = 141.10 : x
  2. Step 2: Convert to fraction form
    228.31/315.03 = 141.10/x
  3. Step 3: Cross multiply
    228.31x = 315.03 × 141.10
  4. Step 4: Simplify right side
    228.31x = 44,450.73
  5. Step 5: Solve for x
    x = 44,450.73/228.31
  6. Step 6: Final answer
    x = 194.69

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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.