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Finding the Fourth Proportional to 184.54, 254.34 and 145.66

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Solution

The fourth proportional to 184.54, 254.34 and 145.66 is: 200.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.54 : 254.34 = 145.66 : x
  2. Step 2: Convert to fraction form
    184.54/254.34 = 145.66/x
  3. Step 3: Cross multiply
    184.54x = 254.34 × 145.66
  4. Step 4: Simplify right side
    184.54x = 37,047.16
  5. Step 5: Solve for x
    x = 37,047.16/184.54
  6. Step 6: Final answer
    x = 200.75

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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.