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Finding the Fourth Proportional to 210.97, 291.13 and 137.43

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Solution

The fourth proportional to 210.97, 291.13 and 137.43 is: 189.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.97 : 291.13 = 137.43 : x
  2. Step 2: Convert to fraction form
    210.97/291.13 = 137.43/x
  3. Step 3: Cross multiply
    210.97x = 291.13 × 137.43
  4. Step 4: Simplify right side
    210.97x = 40,010.00
  5. Step 5: Solve for x
    x = 40,010.00/210.97
  6. Step 6: Final answer
    x = 189.65

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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.