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Finding the Fourth Proportional to 205.15, 283.02 and 155.92

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Solution

The fourth proportional to 205.15, 283.02 and 155.92 is: 215.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.15 : 283.02 = 155.92 : x
  2. Step 2: Convert to fraction form
    205.15/283.02 = 155.92/x
  3. Step 3: Cross multiply
    205.15x = 283.02 × 155.92
  4. Step 4: Simplify right side
    205.15x = 44,128.48
  5. Step 5: Solve for x
    x = 44,128.48/205.15
  6. Step 6: Final answer
    x = 215.10

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