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Finding the Fourth Proportional to 248.58, 343.34 and 165.54

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Solution

The fourth proportional to 248.58, 343.34 and 165.54 is: 228.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.58 : 343.34 = 165.54 : x
  2. Step 2: Convert to fraction form
    248.58/343.34 = 165.54/x
  3. Step 3: Cross multiply
    248.58x = 343.34 × 165.54
  4. Step 4: Simplify right side
    248.58x = 56,835.68
  5. Step 5: Solve for x
    x = 56,835.68/248.58
  6. Step 6: Final answer
    x = 228.64

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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.