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Finding the Fourth Proportional to 210.77, 290.80 and 166.97

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Solution

The fourth proportional to 210.77, 290.80 and 166.97 is: 230.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.77 : 290.80 = 166.97 : x
  2. Step 2: Convert to fraction form
    210.77/290.80 = 166.97/x
  3. Step 3: Cross multiply
    210.77x = 290.80 × 166.97
  4. Step 4: Simplify right side
    210.77x = 48,554.88
  5. Step 5: Solve for x
    x = 48,554.88/210.77
  6. Step 6: Final answer
    x = 230.37

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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.