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Finding the Fourth Proportional to 214.11, 320.25 and 127.25

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Solution

The fourth proportional to 214.11, 320.25 and 127.25 is: 190.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.11 : 320.25 = 127.25 : x
  2. Step 2: Convert to fraction form
    214.11/320.25 = 127.25/x
  3. Step 3: Cross multiply
    214.11x = 320.25 × 127.25
  4. Step 4: Simplify right side
    214.11x = 40,750.21
  5. Step 5: Solve for x
    x = 40,750.21/214.11
  6. Step 6: Final answer
    x = 190.32

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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.