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Finding the Fourth Proportional to 253.38, 349.64 and 142.84

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Solution

The fourth proportional to 253.38, 349.64 and 142.84 is: 197.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.38 : 349.64 = 142.84 : x
  2. Step 2: Convert to fraction form
    253.38/349.64 = 142.84/x
  3. Step 3: Cross multiply
    253.38x = 349.64 × 142.84
  4. Step 4: Simplify right side
    253.38x = 49,942.58
  5. Step 5: Solve for x
    x = 49,942.58/253.38
  6. Step 6: Final answer
    x = 197.11

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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.