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Finding the Fourth Proportional to 202.13, 302.93 and 147.28

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Solution

The fourth proportional to 202.13, 302.93 and 147.28 is: 220.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.13 : 302.93 = 147.28 : x
  2. Step 2: Convert to fraction form
    202.13/302.93 = 147.28/x
  3. Step 3: Cross multiply
    202.13x = 302.93 × 147.28
  4. Step 4: Simplify right side
    202.13x = 44,616.31
  5. Step 5: Solve for x
    x = 44,616.31/202.13
  6. Step 6: Final answer
    x = 220.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.