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Finding the Fourth Proportional to 282.78, 423.86 and 145.58

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Solution

The fourth proportional to 282.78, 423.86 and 145.58 is: 218.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.78 : 423.86 = 145.58 : x
  2. Step 2: Convert to fraction form
    282.78/423.86 = 145.58/x
  3. Step 3: Cross multiply
    282.78x = 423.86 × 145.58
  4. Step 4: Simplify right side
    282.78x = 61,702.69
  5. Step 5: Solve for x
    x = 61,702.69/282.78
  6. Step 6: Final answer
    x = 218.20

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