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Finding the Fourth Proportional to 211.02, 291.11 and 137.39

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Solution

The fourth proportional to 211.02, 291.11 and 137.39 is: 189.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.02 : 291.11 = 137.39 : x
  2. Step 2: Convert to fraction form
    211.02/291.11 = 137.39/x
  3. Step 3: Cross multiply
    211.02x = 291.11 × 137.39
  4. Step 4: Simplify right side
    211.02x = 39,993.46
  5. Step 5: Solve for x
    x = 39,993.46/211.02
  6. Step 6: Final answer
    x = 189.52

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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.