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Finding the Fourth Proportional to 184.03, 254.12 and 117.77

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Solution

The fourth proportional to 184.03, 254.12 and 117.77 is: 162.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.03 : 254.12 = 117.77 : x
  2. Step 2: Convert to fraction form
    184.03/254.12 = 117.77/x
  3. Step 3: Cross multiply
    184.03x = 254.12 × 117.77
  4. Step 4: Simplify right side
    184.03x = 29,926.44
  5. Step 5: Solve for x
    x = 29,926.44/184.03
  6. Step 6: Final answer
    x = 162.62

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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.