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Finding the Fourth Proportional to 214.06, 320.54 and 137.11

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Solution

The fourth proportional to 214.06, 320.54 and 137.11 is: 205.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.06 : 320.54 = 137.11 : x
  2. Step 2: Convert to fraction form
    214.06/320.54 = 137.11/x
  3. Step 3: Cross multiply
    214.06x = 320.54 × 137.11
  4. Step 4: Simplify right side
    214.06x = 43,949.24
  5. Step 5: Solve for x
    x = 43,949.24/214.06
  6. Step 6: Final answer
    x = 205.31

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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.