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Finding the Fourth Proportional to 202.34, 303.27 and 94

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Solution

The fourth proportional to 202.34, 303.27 and 94 is: 140.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.34 : 303.27 = 94 : x
  2. Step 2: Convert to fraction form
    202.34/303.27 = 94/x
  3. Step 3: Cross multiply
    202.34x = 303.27 × 94
  4. Step 4: Simplify right side
    202.34x = 28,507.38
  5. Step 5: Solve for x
    x = 28,507.38/202.34
  6. Step 6: Final answer
    x = 140.89

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Why These Related Problems?

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