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Finding the Fourth Proportional to 202.12, 302.90 and 150.34

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Solution

The fourth proportional to 202.12, 302.90 and 150.34 is: 225.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.12 : 302.90 = 150.34 : x
  2. Step 2: Convert to fraction form
    202.12/302.90 = 150.34/x
  3. Step 3: Cross multiply
    202.12x = 302.90 × 150.34
  4. Step 4: Simplify right side
    202.12x = 45,537.99
  5. Step 5: Solve for x
    x = 45,537.99/202.12
  6. Step 6: Final answer
    x = 225.30

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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.