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Finding the Fourth Proportional to 210.11, 289.94 and 116.85

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Solution

The fourth proportional to 210.11, 289.94 and 116.85 is: 161.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.11 : 289.94 = 116.85 : x
  2. Step 2: Convert to fraction form
    210.11/289.94 = 116.85/x
  3. Step 3: Cross multiply
    210.11x = 289.94 × 116.85
  4. Step 4: Simplify right side
    210.11x = 33,878.04
  5. Step 5: Solve for x
    x = 33,878.04/210.11
  6. Step 6: Final answer
    x = 161.24

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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.