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Finding the Fourth Proportional to 378.53, 567.64 and 144.23

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Solution

The fourth proportional to 378.53, 567.64 and 144.23 is: 216.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.53 : 567.64 = 144.23 : x
  2. Step 2: Convert to fraction form
    378.53/567.64 = 144.23/x
  3. Step 3: Cross multiply
    378.53x = 567.64 × 144.23
  4. Step 4: Simplify right side
    378.53x = 81,867.52
  5. Step 5: Solve for x
    x = 81,867.52/378.53
  6. Step 6: Final answer
    x = 216.28

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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.