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Finding the Fourth Proportional to 204.24, 282.06 and 165.72

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Solution

The fourth proportional to 204.24, 282.06 and 165.72 is: 228.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.24 : 282.06 = 165.72 : x
  2. Step 2: Convert to fraction form
    204.24/282.06 = 165.72/x
  3. Step 3: Cross multiply
    204.24x = 282.06 × 165.72
  4. Step 4: Simplify right side
    204.24x = 46,742.98
  5. Step 5: Solve for x
    x = 46,742.98/204.24
  6. Step 6: Final answer
    x = 228.86

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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.