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Finding the Fourth Proportional to 375.09, 562.83 and 144.24

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Solution

The fourth proportional to 375.09, 562.83 and 144.24 is: 216.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.09 : 562.83 = 144.24 : x
  2. Step 2: Convert to fraction form
    375.09/562.83 = 144.24/x
  3. Step 3: Cross multiply
    375.09x = 562.83 × 144.24
  4. Step 4: Simplify right side
    375.09x = 81,182.60
  5. Step 5: Solve for x
    x = 81,182.60/375.09
  6. Step 6: Final answer
    x = 216.43

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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.