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Finding the Fourth Proportional to 184.95, 254.88 and 184.68

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Solution

The fourth proportional to 184.95, 254.88 and 184.68 is: 254.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.95 : 254.88 = 184.68 : x
  2. Step 2: Convert to fraction form
    184.95/254.88 = 184.68/x
  3. Step 3: Cross multiply
    184.95x = 254.88 × 184.68
  4. Step 4: Simplify right side
    184.95x = 47,071.24
  5. Step 5: Solve for x
    x = 47,071.24/184.95
  6. Step 6: Final answer
    x = 254.51

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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.