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Finding the Fourth Proportional to 378.34, 567.65 and 134.80

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Solution

The fourth proportional to 378.34, 567.65 and 134.80 is: 202.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.34 : 567.65 = 134.80 : x
  2. Step 2: Convert to fraction form
    378.34/567.65 = 134.80/x
  3. Step 3: Cross multiply
    378.34x = 567.65 × 134.80
  4. Step 4: Simplify right side
    378.34x = 76,519.22
  5. Step 5: Solve for x
    x = 76,519.22/378.34
  6. Step 6: Final answer
    x = 202.25

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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.