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Finding the Fourth Proportional to 378.52, 567.86 and 135.22

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Solution

The fourth proportional to 378.52, 567.86 and 135.22 is: 202.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.52 : 567.86 = 135.22 : x
  2. Step 2: Convert to fraction form
    378.52/567.86 = 135.22/x
  3. Step 3: Cross multiply
    378.52x = 567.86 × 135.22
  4. Step 4: Simplify right side
    378.52x = 76,785.76
  5. Step 5: Solve for x
    x = 76,785.76/378.52
  6. Step 6: Final answer
    x = 202.86

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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.