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Finding the Fourth Proportional to 214.32, 321.96 and 186.48

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Solution

The fourth proportional to 214.32, 321.96 and 186.48 is: 280.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.32 : 321.96 = 186.48 : x
  2. Step 2: Convert to fraction form
    214.32/321.96 = 186.48/x
  3. Step 3: Cross multiply
    214.32x = 321.96 × 186.48
  4. Step 4: Simplify right side
    214.32x = 60,039.10
  5. Step 5: Solve for x
    x = 60,039.10/214.32
  6. Step 6: Final answer
    x = 280.14

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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.