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Finding the Fourth Proportional to 206.02, 283.66 and 174.87

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Solution

The fourth proportional to 206.02, 283.66 and 174.87 is: 240.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.02 : 283.66 = 174.87 : x
  2. Step 2: Convert to fraction form
    206.02/283.66 = 174.87/x
  3. Step 3: Cross multiply
    206.02x = 283.66 × 174.87
  4. Step 4: Simplify right side
    206.02x = 49,603.62
  5. Step 5: Solve for x
    x = 49,603.62/206.02
  6. Step 6: Final answer
    x = 240.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.