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Finding the Fourth Proportional to 162.99, 244.86 and 142.11

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Solution

The fourth proportional to 162.99, 244.86 and 142.11 is: 213.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.99 : 244.86 = 142.11 : x
  2. Step 2: Convert to fraction form
    162.99/244.86 = 142.11/x
  3. Step 3: Cross multiply
    162.99x = 244.86 × 142.11
  4. Step 4: Simplify right side
    162.99x = 34,796.34
  5. Step 5: Solve for x
    x = 34,796.34/162.99
  6. Step 6: Final answer
    x = 213.49

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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.