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Finding the Fourth Proportional to 253.36, 349.64 and 136.92

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Solution

The fourth proportional to 253.36, 349.64 and 136.92 is: 188.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.36 : 349.64 = 136.92 : x
  2. Step 2: Convert to fraction form
    253.36/349.64 = 136.92/x
  3. Step 3: Cross multiply
    253.36x = 349.64 × 136.92
  4. Step 4: Simplify right side
    253.36x = 47,872.81
  5. Step 5: Solve for x
    x = 47,872.81/253.36
  6. Step 6: Final answer
    x = 188.95

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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.