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Finding the Fourth Proportional to 354.06, 529.98 and 223.61

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Solution

The fourth proportional to 354.06, 529.98 and 223.61 is: 334.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.06 : 529.98 = 223.61 : x
  2. Step 2: Convert to fraction form
    354.06/529.98 = 223.61/x
  3. Step 3: Cross multiply
    354.06x = 529.98 × 223.61
  4. Step 4: Simplify right side
    354.06x = 118,508.27
  5. Step 5: Solve for x
    x = 118,508.27/354.06
  6. Step 6: Final answer
    x = 334.71

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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.