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Finding the Fourth Proportional to 183.88, 253.74 and 106.26

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Solution

The fourth proportional to 183.88, 253.74 and 106.26 is: 146.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.88 : 253.74 = 106.26 : x
  2. Step 2: Convert to fraction form
    183.88/253.74 = 106.26/x
  3. Step 3: Cross multiply
    183.88x = 253.74 × 106.26
  4. Step 4: Simplify right side
    183.88x = 26,962.41
  5. Step 5: Solve for x
    x = 26,962.41/183.88
  6. Step 6: Final answer
    x = 146.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.