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Finding the Fourth Proportional to 378.34, 567.41 and 158.90

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Solution

The fourth proportional to 378.34, 567.41 and 158.90 is: 238.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.34 : 567.41 = 158.90 : x
  2. Step 2: Convert to fraction form
    378.34/567.41 = 158.90/x
  3. Step 3: Cross multiply
    378.34x = 567.41 × 158.90
  4. Step 4: Simplify right side
    378.34x = 90,157.82
  5. Step 5: Solve for x
    x = 90,157.82/378.34
  6. Step 6: Final answer
    x = 238.30

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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.