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Finding the Fourth Proportional to 286.10, 428.08 and 170.11

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Solution

The fourth proportional to 286.10, 428.08 and 170.11 is: 254.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.10 : 428.08 = 170.11 : x
  2. Step 2: Convert to fraction form
    286.10/428.08 = 170.11/x
  3. Step 3: Cross multiply
    286.10x = 428.08 × 170.11
  4. Step 4: Simplify right side
    286.10x = 72,820.69
  5. Step 5: Solve for x
    x = 72,820.69/286.10
  6. Step 6: Final answer
    x = 254.53

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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.