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Finding the Fourth Proportional to 378.52, 567.68 and 147.48

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Solution

The fourth proportional to 378.52, 567.68 and 147.48 is: 221.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.52 : 567.68 = 147.48 : x
  2. Step 2: Convert to fraction form
    378.52/567.68 = 147.48/x
  3. Step 3: Cross multiply
    378.52x = 567.68 × 147.48
  4. Step 4: Simplify right side
    378.52x = 83,721.45
  5. Step 5: Solve for x
    x = 83,721.45/378.52
  6. Step 6: Final answer
    x = 221.18

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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.