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Finding the Fourth Proportional to 183.86, 253.70 and 106.23

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Solution

The fourth proportional to 183.86, 253.70 and 106.23 is: 146.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.86 : 253.70 = 106.23 : x
  2. Step 2: Convert to fraction form
    183.86/253.70 = 106.23/x
  3. Step 3: Cross multiply
    183.86x = 253.70 × 106.23
  4. Step 4: Simplify right side
    183.86x = 26,950.02
  5. Step 5: Solve for x
    x = 26,950.02/183.86
  6. Step 6: Final answer
    x = 146.58

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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.