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Finding the Fourth Proportional to 378.57, 566.90 and 221.74

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Solution

The fourth proportional to 378.57, 566.90 and 221.74 is: 332.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.57 : 566.90 = 221.74 : x
  2. Step 2: Convert to fraction form
    378.57/566.90 = 221.74/x
  3. Step 3: Cross multiply
    378.57x = 566.90 × 221.74
  4. Step 4: Simplify right side
    378.57x = 125,702.71
  5. Step 5: Solve for x
    x = 125,702.71/378.57
  6. Step 6: Final answer
    x = 332.04

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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.