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Finding the Fourth Proportional to 838.10, 1,257 and 221.81

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Solution

The fourth proportional to 838.10, 1,257 and 221.81 is: 332.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.10 : 1,257 = 221.81 : x
  2. Step 2: Convert to fraction form
    838.10/1,257 = 221.81/x
  3. Step 3: Cross multiply
    838.10x = 1,257 × 221.81
  4. Step 4: Simplify right side
    838.10x = 278,818.31
  5. Step 5: Solve for x
    x = 278,818.31/838.10
  6. Step 6: Final answer
    x = 332.68

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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.