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Finding the Fourth Proportional to 202.19, 302.68 and 129.90

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Solution

The fourth proportional to 202.19, 302.68 and 129.90 is: 194.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.19 : 302.68 = 129.90 : x
  2. Step 2: Convert to fraction form
    202.19/302.68 = 129.90/x
  3. Step 3: Cross multiply
    202.19x = 302.68 × 129.90
  4. Step 4: Simplify right side
    202.19x = 39,317.48
  5. Step 5: Solve for x
    x = 39,317.48/202.19
  6. Step 6: Final answer
    x = 194.46

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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.