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Finding the Fourth Proportional to 184.22, 253.61 and 160.58

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Solution

The fourth proportional to 184.22, 253.61 and 160.58 is: 221.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.22 : 253.61 = 160.58 : x
  2. Step 2: Convert to fraction form
    184.22/253.61 = 160.58/x
  3. Step 3: Cross multiply
    184.22x = 253.61 × 160.58
  4. Step 4: Simplify right side
    184.22x = 40,722.62
  5. Step 5: Solve for x
    x = 40,722.62/184.22
  6. Step 6: Final answer
    x = 221.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.