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Finding the Fourth Proportional to 213.80, 320.57 and 110.93

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Solution

The fourth proportional to 213.80, 320.57 and 110.93 is: 166.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.80 : 320.57 = 110.93 : x
  2. Step 2: Convert to fraction form
    213.80/320.57 = 110.93/x
  3. Step 3: Cross multiply
    213.80x = 320.57 × 110.93
  4. Step 4: Simplify right side
    213.80x = 35,560.28
  5. Step 5: Solve for x
    x = 35,560.28/213.80
  6. Step 6: Final answer
    x = 166.32

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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.