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Finding the Fourth Proportional to 305.11, 457.80 and 142.93

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Solution

The fourth proportional to 305.11, 457.80 and 142.93 is: 214.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.11 : 457.80 = 142.93 : x
  2. Step 2: Convert to fraction form
    305.11/457.80 = 142.93/x
  3. Step 3: Cross multiply
    305.11x = 457.80 × 142.93
  4. Step 4: Simplify right side
    305.11x = 65,433.35
  5. Step 5: Solve for x
    x = 65,433.35/305.11
  6. Step 6: Final answer
    x = 214.46

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