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Finding the Fourth Proportional to 202.90, 304.21 and 72.84

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Solution

The fourth proportional to 202.90, 304.21 and 72.84 is: 109.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.90 : 304.21 = 72.84 : x
  2. Step 2: Convert to fraction form
    202.90/304.21 = 72.84/x
  3. Step 3: Cross multiply
    202.90x = 304.21 × 72.84
  4. Step 4: Simplify right side
    202.90x = 22,158.66
  5. Step 5: Solve for x
    x = 22,158.66/202.90
  6. Step 6: Final answer
    x = 109.21

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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.