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Finding the Fourth Proportional to 184.37, 254.61 and 147.74

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Solution

The fourth proportional to 184.37, 254.61 and 147.74 is: 204.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.37 : 254.61 = 147.74 : x
  2. Step 2: Convert to fraction form
    184.37/254.61 = 147.74/x
  3. Step 3: Cross multiply
    184.37x = 254.61 × 147.74
  4. Step 4: Simplify right side
    184.37x = 37,614.81
  5. Step 5: Solve for x
    x = 37,614.81/184.37
  6. Step 6: Final answer
    x = 204.02

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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.