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Finding the Fourth Proportional to 253.64, 349.96 and 194.68

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Solution

The fourth proportional to 253.64, 349.96 and 194.68 is: 268.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.64 : 349.96 = 194.68 : x
  2. Step 2: Convert to fraction form
    253.64/349.96 = 194.68/x
  3. Step 3: Cross multiply
    253.64x = 349.96 × 194.68
  4. Step 4: Simplify right side
    253.64x = 68,130.21
  5. Step 5: Solve for x
    x = 68,130.21/253.64
  6. Step 6: Final answer
    x = 268.61

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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.