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Finding the Fourth Proportional to 286.02, 428.64 and 141.84

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Solution

The fourth proportional to 286.02, 428.64 and 141.84 is: 212.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.02 : 428.64 = 141.84 : x
  2. Step 2: Convert to fraction form
    286.02/428.64 = 141.84/x
  3. Step 3: Cross multiply
    286.02x = 428.64 × 141.84
  4. Step 4: Simplify right side
    286.02x = 60,798.30
  5. Step 5: Solve for x
    x = 60,798.30/286.02
  6. Step 6: Final answer
    x = 212.57

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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.