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Finding the Fourth Proportional to 282.26, 423.47 and 99.67

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Solution

The fourth proportional to 282.26, 423.47 and 99.67 is: 149.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.26 : 423.47 = 99.67 : x
  2. Step 2: Convert to fraction form
    282.26/423.47 = 99.67/x
  3. Step 3: Cross multiply
    282.26x = 423.47 × 99.67
  4. Step 4: Simplify right side
    282.26x = 42,206.89
  5. Step 5: Solve for x
    x = 42,206.89/282.26
  6. Step 6: Final answer
    x = 149.53

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