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Finding the Fourth Proportional to 284.76, 427.22 and 102.16

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Solution

The fourth proportional to 284.76, 427.22 and 102.16 is: 153.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.76 : 427.22 = 102.16 : x
  2. Step 2: Convert to fraction form
    284.76/427.22 = 102.16/x
  3. Step 3: Cross multiply
    284.76x = 427.22 × 102.16
  4. Step 4: Simplify right side
    284.76x = 43,644.80
  5. Step 5: Solve for x
    x = 43,644.80/284.76
  6. Step 6: Final answer
    x = 153.27

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