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Finding the Fourth Proportional to 161.07, 241.80 and 137.16

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Solution

The fourth proportional to 161.07, 241.80 and 137.16 is: 205.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.07 : 241.80 = 137.16 : x
  2. Step 2: Convert to fraction form
    161.07/241.80 = 137.16/x
  3. Step 3: Cross multiply
    161.07x = 241.80 × 137.16
  4. Step 4: Simplify right side
    161.07x = 33,165.29
  5. Step 5: Solve for x
    x = 33,165.29/161.07
  6. Step 6: Final answer
    x = 205.91

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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.