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Finding the Fourth Proportional to 205.05, 283.15 and 156.14

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Solution

The fourth proportional to 205.05, 283.15 and 156.14 is: 215.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.05 : 283.15 = 156.14 : x
  2. Step 2: Convert to fraction form
    205.05/283.15 = 156.14/x
  3. Step 3: Cross multiply
    205.05x = 283.15 × 156.14
  4. Step 4: Simplify right side
    205.05x = 44,211.60
  5. Step 5: Solve for x
    x = 44,211.60/205.05
  6. Step 6: Final answer
    x = 215.62

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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.