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Finding the Fourth Proportional to 228.47, 341.06 and 211.57

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Solution

The fourth proportional to 228.47, 341.06 and 211.57 is: 315.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.47 : 341.06 = 211.57 : x
  2. Step 2: Convert to fraction form
    228.47/341.06 = 211.57/x
  3. Step 3: Cross multiply
    228.47x = 341.06 × 211.57
  4. Step 4: Simplify right side
    228.47x = 72,156.15
  5. Step 5: Solve for x
    x = 72,156.15/228.47
  6. Step 6: Final answer
    x = 315.83

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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.