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Finding the Fourth Proportional to 223.84, 335.64 and 142.64

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Solution

The fourth proportional to 223.84, 335.64 and 142.64 is: 213.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.84 : 335.64 = 142.64 : x
  2. Step 2: Convert to fraction form
    223.84/335.64 = 142.64/x
  3. Step 3: Cross multiply
    223.84x = 335.64 × 142.64
  4. Step 4: Simplify right side
    223.84x = 47,875.69
  5. Step 5: Solve for x
    x = 47,875.69/223.84
  6. Step 6: Final answer
    x = 213.88

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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.