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Finding the Fourth Proportional to 184.16, 277.64 and 164.12

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Solution

The fourth proportional to 184.16, 277.64 and 164.12 is: 247.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.16 : 277.64 = 164.12 : x
  2. Step 2: Convert to fraction form
    184.16/277.64 = 164.12/x
  3. Step 3: Cross multiply
    184.16x = 277.64 × 164.12
  4. Step 4: Simplify right side
    184.16x = 45,566.28
  5. Step 5: Solve for x
    x = 45,566.28/184.16
  6. Step 6: Final answer
    x = 247.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.