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Finding the Fourth Proportional to 204.16, 282 and 152.64

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Solution

The fourth proportional to 204.16, 282 and 152.64 is: 210.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.16 : 282 = 152.64 : x
  2. Step 2: Convert to fraction form
    204.16/282 = 152.64/x
  3. Step 3: Cross multiply
    204.16x = 282 × 152.64
  4. Step 4: Simplify right side
    204.16x = 43,044.48
  5. Step 5: Solve for x
    x = 43,044.48/204.16
  6. Step 6: Final answer
    x = 210.84

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