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Finding the Fourth Proportional to 378.21, 567.32 and 121.71

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Solution

The fourth proportional to 378.21, 567.32 and 121.71 is: 182.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.21 : 567.32 = 121.71 : x
  2. Step 2: Convert to fraction form
    378.21/567.32 = 121.71/x
  3. Step 3: Cross multiply
    378.21x = 567.32 × 121.71
  4. Step 4: Simplify right side
    378.21x = 69,048.61
  5. Step 5: Solve for x
    x = 69,048.61/378.21
  6. Step 6: Final answer
    x = 182.57

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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.