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Finding the Fourth Proportional to 248.84, 343.45 and 144.00

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Solution

The fourth proportional to 248.84, 343.45 and 144.00 is: 198.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.84 : 343.45 = 144.00 : x
  2. Step 2: Convert to fraction form
    248.84/343.45 = 144.00/x
  3. Step 3: Cross multiply
    248.84x = 343.45 × 144.00
  4. Step 4: Simplify right side
    248.84x = 49,455.94
  5. Step 5: Solve for x
    x = 49,455.94/248.84
  6. Step 6: Final answer
    x = 198.74

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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.