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Finding the Fourth Proportional to 228.44, 315.08 and 154.64

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Solution

The fourth proportional to 228.44, 315.08 and 154.64 is: 213.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.44 : 315.08 = 154.64 : x
  2. Step 2: Convert to fraction form
    228.44/315.08 = 154.64/x
  3. Step 3: Cross multiply
    228.44x = 315.08 × 154.64
  4. Step 4: Simplify right side
    228.44x = 48,722.78
  5. Step 5: Solve for x
    x = 48,722.78/228.44
  6. Step 6: Final answer
    x = 213.28

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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.