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Finding the Fourth Proportional to 282.93, 424.53 and 138.75

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Solution

The fourth proportional to 282.93, 424.53 and 138.75 is: 208.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.93 : 424.53 = 138.75 : x
  2. Step 2: Convert to fraction form
    282.93/424.53 = 138.75/x
  3. Step 3: Cross multiply
    282.93x = 424.53 × 138.75
  4. Step 4: Simplify right side
    282.93x = 58,903.54
  5. Step 5: Solve for x
    x = 58,903.54/282.93
  6. Step 6: Final answer
    x = 208.19

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