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Finding the Fourth Proportional to 162.63, 242.62 and 161.41

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Solution

The fourth proportional to 162.63, 242.62 and 161.41 is: 240.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.63 : 242.62 = 161.41 : x
  2. Step 2: Convert to fraction form
    162.63/242.62 = 161.41/x
  3. Step 3: Cross multiply
    162.63x = 242.62 × 161.41
  4. Step 4: Simplify right side
    162.63x = 39,161.29
  5. Step 5: Solve for x
    x = 39,161.29/162.63
  6. Step 6: Final answer
    x = 240.80

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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.