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Finding the Fourth Proportional to 253.16, 349.39 and 142.64

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Solution

The fourth proportional to 253.16, 349.39 and 142.64 is: 196.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.16 : 349.39 = 142.64 : x
  2. Step 2: Convert to fraction form
    253.16/349.39 = 142.64/x
  3. Step 3: Cross multiply
    253.16x = 349.39 × 142.64
  4. Step 4: Simplify right side
    253.16x = 49,834.53
  5. Step 5: Solve for x
    x = 49,834.53/253.16
  6. Step 6: Final answer
    x = 196.85

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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.