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Finding the Fourth Proportional to 184.62, 278.02 and 162.06

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Solution

The fourth proportional to 184.62, 278.02 and 162.06 is: 244.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.62 : 278.02 = 162.06 : x
  2. Step 2: Convert to fraction form
    184.62/278.02 = 162.06/x
  3. Step 3: Cross multiply
    184.62x = 278.02 × 162.06
  4. Step 4: Simplify right side
    184.62x = 45,055.92
  5. Step 5: Solve for x
    x = 45,055.92/184.62
  6. Step 6: Final answer
    x = 244.05

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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.