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Finding the Fourth Proportional to 211.61, 292.03 and 137.95

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Solution

The fourth proportional to 211.61, 292.03 and 137.95 is: 190.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.61 : 292.03 = 137.95 : x
  2. Step 2: Convert to fraction form
    211.61/292.03 = 137.95/x
  3. Step 3: Cross multiply
    211.61x = 292.03 × 137.95
  4. Step 4: Simplify right side
    211.61x = 40,285.54
  5. Step 5: Solve for x
    x = 40,285.54/211.61
  6. Step 6: Final answer
    x = 190.38

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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.