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Finding the Fourth Proportional to 183.74, 253.46 and 106.07

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Solution

The fourth proportional to 183.74, 253.46 and 106.07 is: 146.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.74 : 253.46 = 106.07 : x
  2. Step 2: Convert to fraction form
    183.74/253.46 = 106.07/x
  3. Step 3: Cross multiply
    183.74x = 253.46 × 106.07
  4. Step 4: Simplify right side
    183.74x = 26,883.23
  5. Step 5: Solve for x
    x = 26,883.23/183.74
  6. Step 6: Final answer
    x = 146.32

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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.