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Finding the Fourth Proportional to 213.47, 320.28 and 76.43

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Solution

The fourth proportional to 213.47, 320.28 and 76.43 is: 114.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.47 : 320.28 = 76.43 : x
  2. Step 2: Convert to fraction form
    213.47/320.28 = 76.43/x
  3. Step 3: Cross multiply
    213.47x = 320.28 × 76.43
  4. Step 4: Simplify right side
    213.47x = 24,477.40
  5. Step 5: Solve for x
    x = 24,477.40/213.47
  6. Step 6: Final answer
    x = 114.67

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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.