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Finding the Fourth Proportional to 214.45, 295.17 and 183.26

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Solution

The fourth proportional to 214.45, 295.17 and 183.26 is: 252.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.45 : 295.17 = 183.26 : x
  2. Step 2: Convert to fraction form
    214.45/295.17 = 183.26/x
  3. Step 3: Cross multiply
    214.45x = 295.17 × 183.26
  4. Step 4: Simplify right side
    214.45x = 54,092.85
  5. Step 5: Solve for x
    x = 54,092.85/214.45
  6. Step 6: Final answer
    x = 252.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.