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Finding the Fourth Proportional to 378.24, 567.38 and 121.76

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Solution

The fourth proportional to 378.24, 567.38 and 121.76 is: 182.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.24 : 567.38 = 121.76 : x
  2. Step 2: Convert to fraction form
    378.24/567.38 = 121.76/x
  3. Step 3: Cross multiply
    378.24x = 567.38 × 121.76
  4. Step 4: Simplify right side
    378.24x = 69,084.19
  5. Step 5: Solve for x
    x = 69,084.19/378.24
  6. Step 6: Final answer
    x = 182.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.