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Finding the Fourth Proportional to 175.60, 243.49 and 164.80

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Solution

The fourth proportional to 175.60, 243.49 and 164.80 is: 228.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.60 : 243.49 = 164.80 : x
  2. Step 2: Convert to fraction form
    175.60/243.49 = 164.80/x
  3. Step 3: Cross multiply
    175.60x = 243.49 × 164.80
  4. Step 4: Simplify right side
    175.60x = 40,127.15
  5. Step 5: Solve for x
    x = 40,127.15/175.60
  6. Step 6: Final answer
    x = 228.51

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.