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Finding the Fourth Proportional to 202.40, 302.93 and 163.62

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Solution

The fourth proportional to 202.40, 302.93 and 163.62 is: 244.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.40 : 302.93 = 163.62 : x
  2. Step 2: Convert to fraction form
    202.40/302.93 = 163.62/x
  3. Step 3: Cross multiply
    202.40x = 302.93 × 163.62
  4. Step 4: Simplify right side
    202.40x = 49,565.41
  5. Step 5: Solve for x
    x = 49,565.41/202.40
  6. Step 6: Final answer
    x = 244.89

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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.