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Finding the Fourth Proportional to 223.15, 334.74 and 141.88

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Solution

The fourth proportional to 223.15, 334.74 and 141.88 is: 212.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.15 : 334.74 = 141.88 : x
  2. Step 2: Convert to fraction form
    223.15/334.74 = 141.88/x
  3. Step 3: Cross multiply
    223.15x = 334.74 × 141.88
  4. Step 4: Simplify right side
    223.15x = 47,492.91
  5. Step 5: Solve for x
    x = 47,492.91/223.15
  6. Step 6: Final answer
    x = 212.83

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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.