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Finding the Fourth Proportional to 537.10, 805.79 and 152.35

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Solution

The fourth proportional to 537.10, 805.79 and 152.35 is: 228.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.10 : 805.79 = 152.35 : x
  2. Step 2: Convert to fraction form
    537.10/805.79 = 152.35/x
  3. Step 3: Cross multiply
    537.10x = 805.79 × 152.35
  4. Step 4: Simplify right side
    537.10x = 122,757.32
  5. Step 5: Solve for x
    x = 122,757.32/537.10
  6. Step 6: Final answer
    x = 228.56

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