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Finding the Fourth Proportional to 248.63, 343.16 and 145.13

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Solution

The fourth proportional to 248.63, 343.16 and 145.13 is: 200.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.63 : 343.16 = 145.13 : x
  2. Step 2: Convert to fraction form
    248.63/343.16 = 145.13/x
  3. Step 3: Cross multiply
    248.63x = 343.16 × 145.13
  4. Step 4: Simplify right side
    248.63x = 49,800.37
  5. Step 5: Solve for x
    x = 49,800.37/248.63
  6. Step 6: Final answer
    x = 200.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.