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Finding the Fourth Proportional to 161.58, 242.82 and 141.24

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Solution

The fourth proportional to 161.58, 242.82 and 141.24 is: 212.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.58 : 242.82 = 141.24 : x
  2. Step 2: Convert to fraction form
    161.58/242.82 = 141.24/x
  3. Step 3: Cross multiply
    161.58x = 242.82 × 141.24
  4. Step 4: Simplify right side
    161.58x = 34,295.90
  5. Step 5: Solve for x
    x = 34,295.90/161.58
  6. Step 6: Final answer
    x = 212.25

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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.