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Finding the Fourth Proportional to 309.01, 426.30 and 184.64

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Solution

The fourth proportional to 309.01, 426.30 and 184.64 is: 254.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.01 : 426.30 = 184.64 : x
  2. Step 2: Convert to fraction form
    309.01/426.30 = 184.64/x
  3. Step 3: Cross multiply
    309.01x = 426.30 × 184.64
  4. Step 4: Simplify right side
    309.01x = 78,712.03
  5. Step 5: Solve for x
    x = 78,712.03/309.01
  6. Step 6: Final answer
    x = 254.72

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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.