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Finding the Fourth Proportional to 162.22, 244.44 and 144.76

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Solution

The fourth proportional to 162.22, 244.44 and 144.76 is: 218.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.22 : 244.44 = 144.76 : x
  2. Step 2: Convert to fraction form
    162.22/244.44 = 144.76/x
  3. Step 3: Cross multiply
    162.22x = 244.44 × 144.76
  4. Step 4: Simplify right side
    162.22x = 35,385.13
  5. Step 5: Solve for x
    x = 35,385.13/162.22
  6. Step 6: Final answer
    x = 218.13

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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.