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Finding the Fourth Proportional to 210.89, 290.84 and 169.58

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Solution

The fourth proportional to 210.89, 290.84 and 169.58 is: 233.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.89 : 290.84 = 169.58 : x
  2. Step 2: Convert to fraction form
    210.89/290.84 = 169.58/x
  3. Step 3: Cross multiply
    210.89x = 290.84 × 169.58
  4. Step 4: Simplify right side
    210.89x = 49,318.35
  5. Step 5: Solve for x
    x = 49,318.35/210.89
  6. Step 6: Final answer
    x = 233.86

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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.