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Finding the Fourth Proportional to 202.11, 302.95 and 130.02

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Solution

The fourth proportional to 202.11, 302.95 and 130.02 is: 194.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.11 : 302.95 = 130.02 : x
  2. Step 2: Convert to fraction form
    202.11/302.95 = 130.02/x
  3. Step 3: Cross multiply
    202.11x = 302.95 × 130.02
  4. Step 4: Simplify right side
    202.11x = 39,389.56
  5. Step 5: Solve for x
    x = 39,389.56/202.11
  6. Step 6: Final answer
    x = 194.89

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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.