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Finding the Fourth Proportional to 378.50, 567.75 and 150.66

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Solution

The fourth proportional to 378.50, 567.75 and 150.66 is: 225.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.50 : 567.75 = 150.66 : x
  2. Step 2: Convert to fraction form
    378.50/567.75 = 150.66/x
  3. Step 3: Cross multiply
    378.50x = 567.75 × 150.66
  4. Step 4: Simplify right side
    378.50x = 85,537.22
  5. Step 5: Solve for x
    x = 85,537.22/378.50
  6. Step 6: Final answer
    x = 225.99

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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.