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Finding the Fourth Proportional to 214.72, 320.60 and 190.48

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Solution

The fourth proportional to 214.72, 320.60 and 190.48 is: 284.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.72 : 320.60 = 190.48 : x
  2. Step 2: Convert to fraction form
    214.72/320.60 = 190.48/x
  3. Step 3: Cross multiply
    214.72x = 320.60 × 190.48
  4. Step 4: Simplify right side
    214.72x = 61,067.89
  5. Step 5: Solve for x
    x = 61,067.89/214.72
  6. Step 6: Final answer
    x = 284.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.