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Finding the Fourth Proportional to 213.55, 320.27 and 83.46

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Solution

The fourth proportional to 213.55, 320.27 and 83.46 is: 125.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.55 : 320.27 = 83.46 : x
  2. Step 2: Convert to fraction form
    213.55/320.27 = 83.46/x
  3. Step 3: Cross multiply
    213.55x = 320.27 × 83.46
  4. Step 4: Simplify right side
    213.55x = 26,730.22
  5. Step 5: Solve for x
    x = 26,730.22/213.55
  6. Step 6: Final answer
    x = 125.17

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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.