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Finding the Fourth Proportional to 378.11, 567.09 and 118.10

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Solution

The fourth proportional to 378.11, 567.09 and 118.10 is: 177.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.11 : 567.09 = 118.10 : x
  2. Step 2: Convert to fraction form
    378.11/567.09 = 118.10/x
  3. Step 3: Cross multiply
    378.11x = 567.09 × 118.10
  4. Step 4: Simplify right side
    378.11x = 66,970.49
  5. Step 5: Solve for x
    x = 66,970.49/378.11
  6. Step 6: Final answer
    x = 177.12

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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.