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Finding the Fourth Proportional to 185.14, 277.43 and 146.46

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Solution

The fourth proportional to 185.14, 277.43 and 146.46 is: 219.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.14 : 277.43 = 146.46 : x
  2. Step 2: Convert to fraction form
    185.14/277.43 = 146.46/x
  3. Step 3: Cross multiply
    185.14x = 277.43 × 146.46
  4. Step 4: Simplify right side
    185.14x = 40,632.40
  5. Step 5: Solve for x
    x = 40,632.40/185.14
  6. Step 6: Final answer
    x = 219.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.