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Finding the Fourth Proportional to 253.61, 349.88 and 194.61

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Solution

The fourth proportional to 253.61, 349.88 and 194.61 is: 268.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.61 : 349.88 = 194.61 : x
  2. Step 2: Convert to fraction form
    253.61/349.88 = 194.61/x
  3. Step 3: Cross multiply
    253.61x = 349.88 × 194.61
  4. Step 4: Simplify right side
    253.61x = 68,090.63
  5. Step 5: Solve for x
    x = 68,090.63/253.61
  6. Step 6: Final answer
    x = 268.49

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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.