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Finding the Fourth Proportional to 214.04, 320.34 and 161.84

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Solution

The fourth proportional to 214.04, 320.34 and 161.84 is: 242.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.04 : 320.34 = 161.84 : x
  2. Step 2: Convert to fraction form
    214.04/320.34 = 161.84/x
  3. Step 3: Cross multiply
    214.04x = 320.34 × 161.84
  4. Step 4: Simplify right side
    214.04x = 51,843.83
  5. Step 5: Solve for x
    x = 51,843.83/214.04
  6. Step 6: Final answer
    x = 242.22

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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.