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Finding the Fourth Proportional to 214.32, 321.48 and 142.16

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Solution

The fourth proportional to 214.32, 321.48 and 142.16 is: 213.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.32 : 321.48 = 142.16 : x
  2. Step 2: Convert to fraction form
    214.32/321.48 = 142.16/x
  3. Step 3: Cross multiply
    214.32x = 321.48 × 142.16
  4. Step 4: Simplify right side
    214.32x = 45,699.99
  5. Step 5: Solve for x
    x = 45,699.99/214.32
  6. Step 6: Final answer
    x = 213.23

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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.