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Finding the Fourth Proportional to 162.02, 241.82 and 143.80

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Solution

The fourth proportional to 162.02, 241.82 and 143.80 is: 214.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.02 : 241.82 = 143.80 : x
  2. Step 2: Convert to fraction form
    162.02/241.82 = 143.80/x
  3. Step 3: Cross multiply
    162.02x = 241.82 × 143.80
  4. Step 4: Simplify right side
    162.02x = 34,773.72
  5. Step 5: Solve for x
    x = 34,773.72/162.02
  6. Step 6: Final answer
    x = 214.63

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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.