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Finding the Fourth Proportional to 248.64, 343 and 160.10

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Solution

The fourth proportional to 248.64, 343 and 160.10 is: 220.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.64 : 343 = 160.10 : x
  2. Step 2: Convert to fraction form
    248.64/343 = 160.10/x
  3. Step 3: Cross multiply
    248.64x = 343 × 160.10
  4. Step 4: Simplify right side
    248.64x = 54,912.59
  5. Step 5: Solve for x
    x = 54,912.59/248.64
  6. Step 6: Final answer
    x = 220.86

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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.