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Finding the Fourth Proportional to 185.74, 278.60 and 64.00

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Solution

The fourth proportional to 185.74, 278.60 and 64.00 is: 96.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.74 : 278.60 = 64.00 : x
  2. Step 2: Convert to fraction form
    185.74/278.60 = 64.00/x
  3. Step 3: Cross multiply
    185.74x = 278.60 × 64.00
  4. Step 4: Simplify right side
    185.74x = 17,830.43
  5. Step 5: Solve for x
    x = 17,830.43/185.74
  6. Step 6: Final answer
    x = 96.00

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