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Finding the Fourth Proportional to 161.15, 242.57 and 137.66

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Solution

The fourth proportional to 161.15, 242.57 and 137.66 is: 207.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.15 : 242.57 = 137.66 : x
  2. Step 2: Convert to fraction form
    161.15/242.57 = 137.66/x
  3. Step 3: Cross multiply
    161.15x = 242.57 × 137.66
  4. Step 4: Simplify right side
    161.15x = 33,391.32
  5. Step 5: Solve for x
    x = 33,391.32/161.15
  6. Step 6: Final answer
    x = 207.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.