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Finding the Fourth Proportional to 378.10, 567.50 and 161.83

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Solution

The fourth proportional to 378.10, 567.50 and 161.83 is: 242.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.10 : 567.50 = 161.83 : x
  2. Step 2: Convert to fraction form
    378.10/567.50 = 161.83/x
  3. Step 3: Cross multiply
    378.10x = 567.50 × 161.83
  4. Step 4: Simplify right side
    378.10x = 91,838.53
  5. Step 5: Solve for x
    x = 91,838.53/378.10
  6. Step 6: Final answer
    x = 242.89

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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.