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Finding the Fourth Proportional to 211.02, 291.06 and 137.22

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Solution

The fourth proportional to 211.02, 291.06 and 137.22 is: 189.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.02 : 291.06 = 137.22 : x
  2. Step 2: Convert to fraction form
    211.02/291.06 = 137.22/x
  3. Step 3: Cross multiply
    211.02x = 291.06 × 137.22
  4. Step 4: Simplify right side
    211.02x = 39,939.25
  5. Step 5: Solve for x
    x = 39,939.25/211.02
  6. Step 6: Final answer
    x = 189.27

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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.