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Finding the Fourth Proportional to 248.14, 369.63 and 234.46

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Solution

The fourth proportional to 248.14, 369.63 and 234.46 is: 349.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.14 : 369.63 = 234.46 : x
  2. Step 2: Convert to fraction form
    248.14/369.63 = 234.46/x
  3. Step 3: Cross multiply
    248.14x = 369.63 × 234.46
  4. Step 4: Simplify right side
    248.14x = 86,663.45
  5. Step 5: Solve for x
    x = 86,663.45/248.14
  6. Step 6: Final answer
    x = 349.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.