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Finding the Fourth Proportional to 286.10, 394.81 and 155.10

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Solution

The fourth proportional to 286.10, 394.81 and 155.10 is: 214.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.10 : 394.81 = 155.10 : x
  2. Step 2: Convert to fraction form
    286.10/394.81 = 155.10/x
  3. Step 3: Cross multiply
    286.10x = 394.81 × 155.10
  4. Step 4: Simplify right side
    286.10x = 61,236.41
  5. Step 5: Solve for x
    x = 61,236.41/286.10
  6. Step 6: Final answer
    x = 214.04

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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.