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Finding the Fourth Proportional to 214.83, 296.64 and 148.44

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Solution

The fourth proportional to 214.83, 296.64 and 148.44 is: 204.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.83 : 296.64 = 148.44 : x
  2. Step 2: Convert to fraction form
    214.83/296.64 = 148.44/x
  3. Step 3: Cross multiply
    214.83x = 296.64 × 148.44
  4. Step 4: Simplify right side
    214.83x = 44,033.24
  5. Step 5: Solve for x
    x = 44,033.24/214.83
  6. Step 6: Final answer
    x = 204.97

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