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Finding the Fourth Proportional to 210.19, 289.54 and 161.05

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Solution

The fourth proportional to 210.19, 289.54 and 161.05 is: 221.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.19 : 289.54 = 161.05 : x
  2. Step 2: Convert to fraction form
    210.19/289.54 = 161.05/x
  3. Step 3: Cross multiply
    210.19x = 289.54 × 161.05
  4. Step 4: Simplify right side
    210.19x = 46,630.42
  5. Step 5: Solve for x
    x = 46,630.42/210.19
  6. Step 6: Final answer
    x = 221.85

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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.