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Finding the Fourth Proportional to 202.94, 304.44 and 100.23

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Solution

The fourth proportional to 202.94, 304.44 and 100.23 is: 150.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.94 : 304.44 = 100.23 : x
  2. Step 2: Convert to fraction form
    202.94/304.44 = 100.23/x
  3. Step 3: Cross multiply
    202.94x = 304.44 × 100.23
  4. Step 4: Simplify right side
    202.94x = 30,514.02
  5. Step 5: Solve for x
    x = 30,514.02/202.94
  6. Step 6: Final answer
    x = 150.36

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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.