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Finding the Fourth Proportional to 214.42, 321.76 and 142.32

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Solution

The fourth proportional to 214.42, 321.76 and 142.32 is: 213.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.42 : 321.76 = 142.32 : x
  2. Step 2: Convert to fraction form
    214.42/321.76 = 142.32/x
  3. Step 3: Cross multiply
    214.42x = 321.76 × 142.32
  4. Step 4: Simplify right side
    214.42x = 45,792.88
  5. Step 5: Solve for x
    x = 45,792.88/214.42
  6. Step 6: Final answer
    x = 213.57

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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.