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Finding the Fourth Proportional to 202.25, 278.82 and 147.03

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Solution

The fourth proportional to 202.25, 278.82 and 147.03 is: 202.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.25 : 278.82 = 147.03 : x
  2. Step 2: Convert to fraction form
    202.25/278.82 = 147.03/x
  3. Step 3: Cross multiply
    202.25x = 278.82 × 147.03
  4. Step 4: Simplify right side
    202.25x = 40,994.90
  5. Step 5: Solve for x
    x = 40,994.90/202.25
  6. Step 6: Final answer
    x = 202.70

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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.