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Finding the Fourth Proportional to 265.16, 397.64 and 91.78

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Solution

The fourth proportional to 265.16, 397.64 and 91.78 is: 137.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.16 : 397.64 = 91.78 : x
  2. Step 2: Convert to fraction form
    265.16/397.64 = 91.78/x
  3. Step 3: Cross multiply
    265.16x = 397.64 × 91.78
  4. Step 4: Simplify right side
    265.16x = 36,496.13
  5. Step 5: Solve for x
    x = 36,496.13/265.16
  6. Step 6: Final answer
    x = 137.64

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