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Finding the Fourth Proportional to 537.34, 806 and 152.60

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Solution

The fourth proportional to 537.34, 806 and 152.60 is: 228.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.34 : 806 = 152.60 : x
  2. Step 2: Convert to fraction form
    537.34/806 = 152.60/x
  3. Step 3: Cross multiply
    537.34x = 806 × 152.60
  4. Step 4: Simplify right side
    537.34x = 122,995.60
  5. Step 5: Solve for x
    x = 122,995.60/537.34
  6. Step 6: Final answer
    x = 228.90

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