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Finding the Fourth Proportional to 228.77, 341.49 and 211.85

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Solution

The fourth proportional to 228.77, 341.49 and 211.85 is: 316.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.77 : 341.49 = 211.85 : x
  2. Step 2: Convert to fraction form
    228.77/341.49 = 211.85/x
  3. Step 3: Cross multiply
    228.77x = 341.49 × 211.85
  4. Step 4: Simplify right side
    228.77x = 72,344.66
  5. Step 5: Solve for x
    x = 72,344.66/228.77
  6. Step 6: Final answer
    x = 316.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.