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Finding the Fourth Proportional to 204.39, 304.83 and 202.77

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Solution

The fourth proportional to 204.39, 304.83 and 202.77 is: 302.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.39 : 304.83 = 202.77 : x
  2. Step 2: Convert to fraction form
    204.39/304.83 = 202.77/x
  3. Step 3: Cross multiply
    204.39x = 304.83 × 202.77
  4. Step 4: Simplify right side
    204.39x = 61,810.38
  5. Step 5: Solve for x
    x = 61,810.38/204.39
  6. Step 6: Final answer
    x = 302.41

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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.