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Finding the Fourth Proportional to 214.36, 295.81 and 183.24

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Solution

The fourth proportional to 214.36, 295.81 and 183.24 is: 252.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.36 : 295.81 = 183.24 : x
  2. Step 2: Convert to fraction form
    214.36/295.81 = 183.24/x
  3. Step 3: Cross multiply
    214.36x = 295.81 × 183.24
  4. Step 4: Simplify right side
    214.36x = 54,204.22
  5. Step 5: Solve for x
    x = 54,204.22/214.36
  6. Step 6: Final answer
    x = 252.87

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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.