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Finding the Fourth Proportional to 384.78, 577.14 and 110.86

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Solution

The fourth proportional to 384.78, 577.14 and 110.86 is: 166.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.78 : 577.14 = 110.86 : x
  2. Step 2: Convert to fraction form
    384.78/577.14 = 110.86/x
  3. Step 3: Cross multiply
    384.78x = 577.14 × 110.86
  4. Step 4: Simplify right side
    384.78x = 63,981.74
  5. Step 5: Solve for x
    x = 63,981.74/384.78
  6. Step 6: Final answer
    x = 166.28

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