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Finding the Fourth Proportional to 214.16, 319.43 and 188.19

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Solution

The fourth proportional to 214.16, 319.43 and 188.19 is: 280.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.16 : 319.43 = 188.19 : x
  2. Step 2: Convert to fraction form
    214.16/319.43 = 188.19/x
  3. Step 3: Cross multiply
    214.16x = 319.43 × 188.19
  4. Step 4: Simplify right side
    214.16x = 60,112.94
  5. Step 5: Solve for x
    x = 60,112.94/214.16
  6. Step 6: Final answer
    x = 280.69

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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.