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Finding the Fourth Proportional to 183.58, 253.36 and 109.94

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Solution

The fourth proportional to 183.58, 253.36 and 109.94 is: 151.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.58 : 253.36 = 109.94 : x
  2. Step 2: Convert to fraction form
    183.58/253.36 = 109.94/x
  3. Step 3: Cross multiply
    183.58x = 253.36 × 109.94
  4. Step 4: Simplify right side
    183.58x = 27,853.27
  5. Step 5: Solve for x
    x = 27,853.27/183.58
  6. Step 6: Final answer
    x = 151.72

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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.