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Finding the Fourth Proportional to 161.99, 242.37 and 136.30

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Solution

The fourth proportional to 161.99, 242.37 and 136.30 is: 203.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.99 : 242.37 = 136.30 : x
  2. Step 2: Convert to fraction form
    161.99/242.37 = 136.30/x
  3. Step 3: Cross multiply
    161.99x = 242.37 × 136.30
  4. Step 4: Simplify right side
    161.99x = 33,035.03
  5. Step 5: Solve for x
    x = 33,035.03/161.99
  6. Step 6: Final answer
    x = 203.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.