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Finding the Fourth Proportional to 305.24, 457.89 and 99.81

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Solution

The fourth proportional to 305.24, 457.89 and 99.81 is: 149.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.24 : 457.89 = 99.81 : x
  2. Step 2: Convert to fraction form
    305.24/457.89 = 99.81/x
  3. Step 3: Cross multiply
    305.24x = 457.89 × 99.81
  4. Step 4: Simplify right side
    305.24x = 45,702.00
  5. Step 5: Solve for x
    x = 45,702.00/305.24
  6. Step 6: Final answer
    x = 149.72

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