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Finding the Fourth Proportional to 202.02, 302.49 and 147.75

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Solution

The fourth proportional to 202.02, 302.49 and 147.75 is: 221.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.02 : 302.49 = 147.75 : x
  2. Step 2: Convert to fraction form
    202.02/302.49 = 147.75/x
  3. Step 3: Cross multiply
    202.02x = 302.49 × 147.75
  4. Step 4: Simplify right side
    202.02x = 44,692.90
  5. Step 5: Solve for x
    x = 44,692.90/202.02
  6. Step 6: Final answer
    x = 221.23

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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.