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Finding the Fourth Proportional to 206.55, 309.71 and 74.75

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Solution

The fourth proportional to 206.55, 309.71 and 74.75 is: 112.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.55 : 309.71 = 74.75 : x
  2. Step 2: Convert to fraction form
    206.55/309.71 = 74.75/x
  3. Step 3: Cross multiply
    206.55x = 309.71 × 74.75
  4. Step 4: Simplify right side
    206.55x = 23,150.82
  5. Step 5: Solve for x
    x = 23,150.82/206.55
  6. Step 6: Final answer
    x = 112.08

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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.