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Finding the Fourth Proportional to 228.44, 340.93 and 204.12

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Solution

The fourth proportional to 228.44, 340.93 and 204.12 is: 304.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.44 : 340.93 = 204.12 : x
  2. Step 2: Convert to fraction form
    228.44/340.93 = 204.12/x
  3. Step 3: Cross multiply
    228.44x = 340.93 × 204.12
  4. Step 4: Simplify right side
    228.44x = 69,590.63
  5. Step 5: Solve for x
    x = 69,590.63/228.44
  6. Step 6: Final answer
    x = 304.63

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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.