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Finding the Fourth Proportional to 202.86, 304.29 and 100.23

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Solution

The fourth proportional to 202.86, 304.29 and 100.23 is: 150.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.86 : 304.29 = 100.23 : x
  2. Step 2: Convert to fraction form
    202.86/304.29 = 100.23/x
  3. Step 3: Cross multiply
    202.86x = 304.29 × 100.23
  4. Step 4: Simplify right side
    202.86x = 30,498.99
  5. Step 5: Solve for x
    x = 30,498.99/202.86
  6. Step 6: Final answer
    x = 150.35

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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.