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Finding the Fourth Proportional to 248.64, 342.97 and 186.49

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Solution

The fourth proportional to 248.64, 342.97 and 186.49 is: 257.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.64 : 342.97 = 186.49 : x
  2. Step 2: Convert to fraction form
    248.64/342.97 = 186.49/x
  3. Step 3: Cross multiply
    248.64x = 342.97 × 186.49
  4. Step 4: Simplify right side
    248.64x = 63,960.48
  5. Step 5: Solve for x
    x = 63,960.48/248.64
  6. Step 6: Final answer
    x = 257.24

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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.