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Finding the Fourth Proportional to 204.02, 305.76 and 95.57

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Solution

The fourth proportional to 204.02, 305.76 and 95.57 is: 143.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.02 : 305.76 = 95.57 : x
  2. Step 2: Convert to fraction form
    204.02/305.76 = 95.57/x
  3. Step 3: Cross multiply
    204.02x = 305.76 × 95.57
  4. Step 4: Simplify right side
    204.02x = 29,219.95
  5. Step 5: Solve for x
    x = 29,219.95/204.02
  6. Step 6: Final answer
    x = 143.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.