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Finding the Fourth Proportional to 210.05, 314.46 and 161.18

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Solution

The fourth proportional to 210.05, 314.46 and 161.18 is: 241.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.05 : 314.46 = 161.18 : x
  2. Step 2: Convert to fraction form
    210.05/314.46 = 161.18/x
  3. Step 3: Cross multiply
    210.05x = 314.46 × 161.18
  4. Step 4: Simplify right side
    210.05x = 50,684.66
  5. Step 5: Solve for x
    x = 50,684.66/210.05
  6. Step 6: Final answer
    x = 241.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.