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Finding the Fourth Proportional to 204.34, 304.76 and 185.98

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Solution

The fourth proportional to 204.34, 304.76 and 185.98 is: 277.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.34 : 304.76 = 185.98 : x
  2. Step 2: Convert to fraction form
    204.34/304.76 = 185.98/x
  3. Step 3: Cross multiply
    204.34x = 304.76 × 185.98
  4. Step 4: Simplify right side
    204.34x = 56,679.26
  5. Step 5: Solve for x
    x = 56,679.26/204.34
  6. Step 6: Final answer
    x = 277.38

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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.