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Finding the Fourth Proportional to 537.23, 805.98 and 152.48

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Solution

The fourth proportional to 537.23, 805.98 and 152.48 is: 228.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.23 : 805.98 = 152.48 : x
  2. Step 2: Convert to fraction form
    537.23/805.98 = 152.48/x
  3. Step 3: Cross multiply
    537.23x = 805.98 × 152.48
  4. Step 4: Simplify right side
    537.23x = 122,891.04
  5. Step 5: Solve for x
    x = 122,891.04/537.23
  6. Step 6: Final answer
    x = 228.75

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