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Finding the Fourth Proportional to 210.09, 289.91 and 116.84

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Solution

The fourth proportional to 210.09, 289.91 and 116.84 is: 161.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.09 : 289.91 = 116.84 : x
  2. Step 2: Convert to fraction form
    210.09/289.91 = 116.84/x
  3. Step 3: Cross multiply
    210.09x = 289.91 × 116.84
  4. Step 4: Simplify right side
    210.09x = 33,874.10
  5. Step 5: Solve for x
    x = 33,874.10/210.09
  6. Step 6: Final answer
    x = 161.23

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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.