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Finding the Fourth Proportional to 228.36, 341.25 and 155.46

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Solution

The fourth proportional to 228.36, 341.25 and 155.46 is: 232.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.36 : 341.25 = 155.46 : x
  2. Step 2: Convert to fraction form
    228.36/341.25 = 155.46/x
  3. Step 3: Cross multiply
    228.36x = 341.25 × 155.46
  4. Step 4: Simplify right side
    228.36x = 53,050.73
  5. Step 5: Solve for x
    x = 53,050.73/228.36
  6. Step 6: Final answer
    x = 232.31

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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.