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Finding the Fourth Proportional to 184.36, 254.50 and 118.04

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Solution

The fourth proportional to 184.36, 254.50 and 118.04 is: 162.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.36 : 254.50 = 118.04 : x
  2. Step 2: Convert to fraction form
    184.36/254.50 = 118.04/x
  3. Step 3: Cross multiply
    184.36x = 254.50 × 118.04
  4. Step 4: Simplify right side
    184.36x = 30,041.18
  5. Step 5: Solve for x
    x = 30,041.18/184.36
  6. Step 6: Final answer
    x = 162.95

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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.