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Finding the Fourth Proportional to 228.52, 340.73 and 204.16

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Solution

The fourth proportional to 228.52, 340.73 and 204.16 is: 304.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.52 : 340.73 = 204.16 : x
  2. Step 2: Convert to fraction form
    228.52/340.73 = 204.16/x
  3. Step 3: Cross multiply
    228.52x = 340.73 × 204.16
  4. Step 4: Simplify right side
    228.52x = 69,563.44
  5. Step 5: Solve for x
    x = 69,563.44/228.52
  6. Step 6: Final answer
    x = 304.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.