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Finding the Fourth Proportional to 248.78, 343.29 and 145.30

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Solution

The fourth proportional to 248.78, 343.29 and 145.30 is: 200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.78 : 343.29 = 145.30 : x
  2. Step 2: Convert to fraction form
    248.78/343.29 = 145.30/x
  3. Step 3: Cross multiply
    248.78x = 343.29 × 145.30
  4. Step 4: Simplify right side
    248.78x = 49,880.04
  5. Step 5: Solve for x
    x = 49,880.04/248.78
  6. Step 6: Final answer
    x = 200.50

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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.