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Finding the Fourth Proportional to 228.56, 342.83 and 98.55

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Solution

The fourth proportional to 228.56, 342.83 and 98.55 is: 147.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.56 : 342.83 = 98.55 : x
  2. Step 2: Convert to fraction form
    228.56/342.83 = 98.55/x
  3. Step 3: Cross multiply
    228.56x = 342.83 × 98.55
  4. Step 4: Simplify right side
    228.56x = 33,786.14
  5. Step 5: Solve for x
    x = 33,786.14/228.56
  6. Step 6: Final answer
    x = 147.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.