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Finding the Fourth Proportional to 183.86, 253.74 and 106.28

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Solution

The fourth proportional to 183.86, 253.74 and 106.28 is: 146.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.86 : 253.74 = 106.28 : x
  2. Step 2: Convert to fraction form
    183.86/253.74 = 106.28/x
  3. Step 3: Cross multiply
    183.86x = 253.74 × 106.28
  4. Step 4: Simplify right side
    183.86x = 26,967.49
  5. Step 5: Solve for x
    x = 26,967.49/183.86
  6. Step 6: Final answer
    x = 146.67

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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.