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Finding the Fourth Proportional to 378.13, 567.14 and 118.07

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Solution

The fourth proportional to 378.13, 567.14 and 118.07 is: 177.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.13 : 567.14 = 118.07 : x
  2. Step 2: Convert to fraction form
    378.13/567.14 = 118.07/x
  3. Step 3: Cross multiply
    378.13x = 567.14 × 118.07
  4. Step 4: Simplify right side
    378.13x = 66,961.58
  5. Step 5: Solve for x
    x = 66,961.58/378.13
  6. Step 6: Final answer
    x = 177.09

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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.