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Finding the Fourth Proportional to 206.54, 309.95 and 134.55

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Solution

The fourth proportional to 206.54, 309.95 and 134.55 is: 201.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.54 : 309.95 = 134.55 : x
  2. Step 2: Convert to fraction form
    206.54/309.95 = 134.55/x
  3. Step 3: Cross multiply
    206.54x = 309.95 × 134.55
  4. Step 4: Simplify right side
    206.54x = 41,703.10
  5. Step 5: Solve for x
    x = 41,703.10/206.54
  6. Step 6: Final answer
    x = 201.92

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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.