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Finding the Fourth Proportional to 214.08, 319.83 and 190.32

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Solution

The fourth proportional to 214.08, 319.83 and 190.32 is: 284.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.08 : 319.83 = 190.32 : x
  2. Step 2: Convert to fraction form
    214.08/319.83 = 190.32/x
  3. Step 3: Cross multiply
    214.08x = 319.83 × 190.32
  4. Step 4: Simplify right side
    214.08x = 60,870.05
  5. Step 5: Solve for x
    x = 60,870.05/214.08
  6. Step 6: Final answer
    x = 284.33

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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.