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Finding the Fourth Proportional to 257.13, 385.89 and 188.83

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Solution

The fourth proportional to 257.13, 385.89 and 188.83 is: 283.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.13 : 385.89 = 188.83 : x
  2. Step 2: Convert to fraction form
    257.13/385.89 = 188.83/x
  3. Step 3: Cross multiply
    257.13x = 385.89 × 188.83
  4. Step 4: Simplify right side
    257.13x = 72,866.66
  5. Step 5: Solve for x
    x = 72,866.66/257.13
  6. Step 6: Final answer
    x = 283.38

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