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Finding the Fourth Proportional to 261.44, 392.16 and 78.83

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Solution

The fourth proportional to 261.44, 392.16 and 78.83 is: 118.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.44 : 392.16 = 78.83 : x
  2. Step 2: Convert to fraction form
    261.44/392.16 = 78.83/x
  3. Step 3: Cross multiply
    261.44x = 392.16 × 78.83
  4. Step 4: Simplify right side
    261.44x = 30,915.84
  5. Step 5: Solve for x
    x = 30,915.84/261.44
  6. Step 6: Final answer
    x = 118.25

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