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Finding the Fourth Proportional to 152.00, 209.67 and 99.53

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Solution

The fourth proportional to 152.00, 209.67 and 99.53 is: 137.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.00 : 209.67 = 99.53 : x
  2. Step 2: Convert to fraction form
    152.00/209.67 = 99.53/x
  3. Step 3: Cross multiply
    152.00x = 209.67 × 99.53
  4. Step 4: Simplify right side
    152.00x = 20,868.98
  5. Step 5: Solve for x
    x = 20,868.98/152.00
  6. Step 6: Final answer
    x = 137.30

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