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Finding the Fourth Proportional to 185.69, 256.02 and 146.27

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Solution

The fourth proportional to 185.69, 256.02 and 146.27 is: 201.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.69 : 256.02 = 146.27 : x
  2. Step 2: Convert to fraction form
    185.69/256.02 = 146.27/x
  3. Step 3: Cross multiply
    185.69x = 256.02 × 146.27
  4. Step 4: Simplify right side
    185.69x = 37,448.05
  5. Step 5: Solve for x
    x = 37,448.05/185.69
  6. Step 6: Final answer
    x = 201.67

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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.