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Finding the Fourth Proportional to 468.83, 703.25 and 144.20

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Solution

The fourth proportional to 468.83, 703.25 and 144.20 is: 216.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.83 : 703.25 = 144.20 : x
  2. Step 2: Convert to fraction form
    468.83/703.25 = 144.20/x
  3. Step 3: Cross multiply
    468.83x = 703.25 × 144.20
  4. Step 4: Simplify right side
    468.83x = 101,404.41
  5. Step 5: Solve for x
    x = 101,404.41/468.83
  6. Step 6: Final answer
    x = 216.29

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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.