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Finding the Fourth Proportional to 165.96, 247.56 and 162.30

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Solution

The fourth proportional to 165.96, 247.56 and 162.30 is: 242.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.96 : 247.56 = 162.30 : x
  2. Step 2: Convert to fraction form
    165.96/247.56 = 162.30/x
  3. Step 3: Cross multiply
    165.96x = 247.56 × 162.30
  4. Step 4: Simplify right side
    165.96x = 40,178.99
  5. Step 5: Solve for x
    x = 40,178.99/165.96
  6. Step 6: Final answer
    x = 242.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.