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Finding the Fourth Proportional to 202.96, 304.41 and 72.95

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Solution

The fourth proportional to 202.96, 304.41 and 72.95 is: 109.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.96 : 304.41 = 72.95 : x
  2. Step 2: Convert to fraction form
    202.96/304.41 = 72.95/x
  3. Step 3: Cross multiply
    202.96x = 304.41 × 72.95
  4. Step 4: Simplify right side
    202.96x = 22,206.71
  5. Step 5: Solve for x
    x = 22,206.71/202.96
  6. Step 6: Final answer
    x = 109.41

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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.