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Finding the Fourth Proportional to 184.74, 278.22 and 162.20

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Solution

The fourth proportional to 184.74, 278.22 and 162.20 is: 244.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.74 : 278.22 = 162.20 : x
  2. Step 2: Convert to fraction form
    184.74/278.22 = 162.20/x
  3. Step 3: Cross multiply
    184.74x = 278.22 × 162.20
  4. Step 4: Simplify right side
    184.74x = 45,125.89
  5. Step 5: Solve for x
    x = 45,125.89/184.74
  6. Step 6: Final answer
    x = 244.27

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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.