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Finding the Fourth Proportional to 184.81, 254.53 and 160.24

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Solution

The fourth proportional to 184.81, 254.53 and 160.24 is: 220.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.81 : 254.53 = 160.24 : x
  2. Step 2: Convert to fraction form
    184.81/254.53 = 160.24/x
  3. Step 3: Cross multiply
    184.81x = 254.53 × 160.24
  4. Step 4: Simplify right side
    184.81x = 40,785.89
  5. Step 5: Solve for x
    x = 40,785.89/184.81
  6. Step 6: Final answer
    x = 220.69

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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.