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Finding the Fourth Proportional to 208.11, 312.26 and 147.63

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Solution

The fourth proportional to 208.11, 312.26 and 147.63 is: 221.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.11 : 312.26 = 147.63 : x
  2. Step 2: Convert to fraction form
    208.11/312.26 = 147.63/x
  3. Step 3: Cross multiply
    208.11x = 312.26 × 147.63
  4. Step 4: Simplify right side
    208.11x = 46,098.94
  5. Step 5: Solve for x
    x = 46,098.94/208.11
  6. Step 6: Final answer
    x = 221.51

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Why These Related Problems?

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