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Finding the Fourth Proportional to 537.51, 806.13 and 152.67

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Solution

The fourth proportional to 537.51, 806.13 and 152.67 is: 228.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.51 : 806.13 = 152.67 : x
  2. Step 2: Convert to fraction form
    537.51/806.13 = 152.67/x
  3. Step 3: Cross multiply
    537.51x = 806.13 × 152.67
  4. Step 4: Simplify right side
    537.51x = 123,071.87
  5. Step 5: Solve for x
    x = 123,071.87/537.51
  6. Step 6: Final answer
    x = 228.97

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