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Finding the Fourth Proportional to 204.16, 282.08 and 178.24

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Solution

The fourth proportional to 204.16, 282.08 and 178.24 is: 246.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.16 : 282.08 = 178.24 : x
  2. Step 2: Convert to fraction form
    204.16/282.08 = 178.24/x
  3. Step 3: Cross multiply
    204.16x = 282.08 × 178.24
  4. Step 4: Simplify right side
    204.16x = 50,277.94
  5. Step 5: Solve for x
    x = 50,277.94/204.16
  6. Step 6: Final answer
    x = 246.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.