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Finding the Fourth Proportional to 239.14, 328.61 and 228.41

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Solution

The fourth proportional to 239.14, 328.61 and 228.41 is: 313.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.14 : 328.61 = 228.41 : x
  2. Step 2: Convert to fraction form
    239.14/328.61 = 228.41/x
  3. Step 3: Cross multiply
    239.14x = 328.61 × 228.41
  4. Step 4: Simplify right side
    239.14x = 75,057.81
  5. Step 5: Solve for x
    x = 75,057.81/239.14
  6. Step 6: Final answer
    x = 313.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.