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Finding the Fourth Proportional to 837.74, 1,256.50 and 221.50

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Solution

The fourth proportional to 837.74, 1,256.50 and 221.50 is: 332.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.74 : 1,256.50 = 221.50 : x
  2. Step 2: Convert to fraction form
    837.74/1,256.50 = 221.50/x
  3. Step 3: Cross multiply
    837.74x = 1,256.50 × 221.50
  4. Step 4: Simplify right side
    837.74x = 278,314.75
  5. Step 5: Solve for x
    x = 278,314.75/837.74
  6. Step 6: Final answer
    x = 332.22

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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.