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Finding the Fourth Proportional to 210.06, 289.86 and 116.81

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Solution

The fourth proportional to 210.06, 289.86 and 116.81 is: 161.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.06 : 289.86 = 116.81 : x
  2. Step 2: Convert to fraction form
    210.06/289.86 = 116.81/x
  3. Step 3: Cross multiply
    210.06x = 289.86 × 116.81
  4. Step 4: Simplify right side
    210.06x = 33,858.55
  5. Step 5: Solve for x
    x = 33,858.55/210.06
  6. Step 6: Final answer
    x = 161.19

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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.