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Finding the Fourth Proportional to 202.92, 280.08 and 147.84

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Solution

The fourth proportional to 202.92, 280.08 and 147.84 is: 204.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.92 : 280.08 = 147.84 : x
  2. Step 2: Convert to fraction form
    202.92/280.08 = 147.84/x
  3. Step 3: Cross multiply
    202.92x = 280.08 × 147.84
  4. Step 4: Simplify right side
    202.92x = 41,407.03
  5. Step 5: Solve for x
    x = 41,407.03/202.92
  6. Step 6: Final answer
    x = 204.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.