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Finding the Fourth Proportional to 243.47, 336.11 and 165.20

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Solution

The fourth proportional to 243.47, 336.11 and 165.20 is: 228.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.47 : 336.11 = 165.20 : x
  2. Step 2: Convert to fraction form
    243.47/336.11 = 165.20/x
  3. Step 3: Cross multiply
    243.47x = 336.11 × 165.20
  4. Step 4: Simplify right side
    243.47x = 55,525.37
  5. Step 5: Solve for x
    x = 55,525.37/243.47
  6. Step 6: Final answer
    x = 228.06

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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.