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Finding the Fourth Proportional to 378.47, 567.71 and 135.07

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Solution

The fourth proportional to 378.47, 567.71 and 135.07 is: 202.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.47 : 567.71 = 135.07 : x
  2. Step 2: Convert to fraction form
    378.47/567.71 = 135.07/x
  3. Step 3: Cross multiply
    378.47x = 567.71 × 135.07
  4. Step 4: Simplify right side
    378.47x = 76,680.59
  5. Step 5: Solve for x
    x = 76,680.59/378.47
  6. Step 6: Final answer
    x = 202.61

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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.