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Finding the Fourth Proportional to 189.72, 262.02 and 165.18

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Solution

The fourth proportional to 189.72, 262.02 and 165.18 is: 228.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.72 : 262.02 = 165.18 : x
  2. Step 2: Convert to fraction form
    189.72/262.02 = 165.18/x
  3. Step 3: Cross multiply
    189.72x = 262.02 × 165.18
  4. Step 4: Simplify right side
    189.72x = 43,280.46
  5. Step 5: Solve for x
    x = 43,280.46/189.72
  6. Step 6: Final answer
    x = 228.13

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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.