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Finding the Fourth Proportional to 184.56, 278.24 and 160.80

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Solution

The fourth proportional to 184.56, 278.24 and 160.80 is: 242.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.56 : 278.24 = 160.80 : x
  2. Step 2: Convert to fraction form
    184.56/278.24 = 160.80/x
  3. Step 3: Cross multiply
    184.56x = 278.24 × 160.80
  4. Step 4: Simplify right side
    184.56x = 44,740.99
  5. Step 5: Solve for x
    x = 44,740.99/184.56
  6. Step 6: Final answer
    x = 242.42

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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.