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Finding the Fourth Proportional to 228.12, 314.82 and 159

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Solution

The fourth proportional to 228.12, 314.82 and 159 is: 219.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.12 : 314.82 = 159 : x
  2. Step 2: Convert to fraction form
    228.12/314.82 = 159/x
  3. Step 3: Cross multiply
    228.12x = 314.82 × 159
  4. Step 4: Simplify right side
    228.12x = 50,056.38
  5. Step 5: Solve for x
    x = 50,056.38/228.12
  6. Step 6: Final answer
    x = 219.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.