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Finding the Fourth Proportional to 184.16, 254.10 and 105.46

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Solution

The fourth proportional to 184.16, 254.10 and 105.46 is: 145.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.16 : 254.10 = 105.46 : x
  2. Step 2: Convert to fraction form
    184.16/254.10 = 105.46/x
  3. Step 3: Cross multiply
    184.16x = 254.10 × 105.46
  4. Step 4: Simplify right side
    184.16x = 26,796.86
  5. Step 5: Solve for x
    x = 26,796.86/184.16
  6. Step 6: Final answer
    x = 145.51

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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.