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Finding the Fourth Proportional to 378.67, 567.66 and 135.14

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Solution

The fourth proportional to 378.67, 567.66 and 135.14 is: 202.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.67 : 567.66 = 135.14 : x
  2. Step 2: Convert to fraction form
    378.67/567.66 = 135.14/x
  3. Step 3: Cross multiply
    378.67x = 567.66 × 135.14
  4. Step 4: Simplify right side
    378.67x = 76,710.20
  5. Step 5: Solve for x
    x = 76,710.20/378.67
  6. Step 6: Final answer
    x = 202.58

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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.