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Finding the Fourth Proportional to 213.76, 320.21 and 202.69

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Solution

The fourth proportional to 213.76, 320.21 and 202.69 is: 303.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.76 : 320.21 = 202.69 : x
  2. Step 2: Convert to fraction form
    213.76/320.21 = 202.69/x
  3. Step 3: Cross multiply
    213.76x = 320.21 × 202.69
  4. Step 4: Simplify right side
    213.76x = 64,901.55
  5. Step 5: Solve for x
    x = 64,901.55/213.76
  6. Step 6: Final answer
    x = 303.62

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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.