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Finding the Fourth Proportional to 305.14, 457.35 and 189.61

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Solution

The fourth proportional to 305.14, 457.35 and 189.61 is: 284.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.14 : 457.35 = 189.61 : x
  2. Step 2: Convert to fraction form
    305.14/457.35 = 189.61/x
  3. Step 3: Cross multiply
    305.14x = 457.35 × 189.61
  4. Step 4: Simplify right side
    305.14x = 86,718.13
  5. Step 5: Solve for x
    x = 86,718.13/305.14
  6. Step 6: Final answer
    x = 284.19

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