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Finding the Fourth Proportional to 210.80, 290.82 and 137.12

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Solution

The fourth proportional to 210.80, 290.82 and 137.12 is: 189.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.80 : 290.82 = 137.12 : x
  2. Step 2: Convert to fraction form
    210.80/290.82 = 137.12/x
  3. Step 3: Cross multiply
    210.80x = 290.82 × 137.12
  4. Step 4: Simplify right side
    210.80x = 39,877.24
  5. Step 5: Solve for x
    x = 39,877.24/210.80
  6. Step 6: Final answer
    x = 189.17

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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.