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Finding the Fourth Proportional to 248.60, 343.14 and 165.77

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Solution

The fourth proportional to 248.60, 343.14 and 165.77 is: 228.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.60 : 343.14 = 165.77 : x
  2. Step 2: Convert to fraction form
    248.60/343.14 = 165.77/x
  3. Step 3: Cross multiply
    248.60x = 343.14 × 165.77
  4. Step 4: Simplify right side
    248.60x = 56,882.32
  5. Step 5: Solve for x
    x = 56,882.32/248.60
  6. Step 6: Final answer
    x = 228.81

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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.