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Finding the Fourth Proportional to 282.08, 423.17 and 99.58

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Solution

The fourth proportional to 282.08, 423.17 and 99.58 is: 149.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.08 : 423.17 = 99.58 : x
  2. Step 2: Convert to fraction form
    282.08/423.17 = 99.58/x
  3. Step 3: Cross multiply
    282.08x = 423.17 × 99.58
  4. Step 4: Simplify right side
    282.08x = 42,139.27
  5. Step 5: Solve for x
    x = 42,139.27/282.08
  6. Step 6: Final answer
    x = 149.39

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