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Finding the Fourth Proportional to 202.40, 303.44 and 141.35

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Solution

The fourth proportional to 202.40, 303.44 and 141.35 is: 211.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.40 : 303.44 = 141.35 : x
  2. Step 2: Convert to fraction form
    202.40/303.44 = 141.35/x
  3. Step 3: Cross multiply
    202.40x = 303.44 × 141.35
  4. Step 4: Simplify right side
    202.40x = 42,889.02
  5. Step 5: Solve for x
    x = 42,889.02/202.40
  6. Step 6: Final answer
    x = 211.91

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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.