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Finding the Fourth Proportional to 183.70, 253.56 and 109.99

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Solution

The fourth proportional to 183.70, 253.56 and 109.99 is: 151.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.70 : 253.56 = 109.99 : x
  2. Step 2: Convert to fraction form
    183.70/253.56 = 109.99/x
  3. Step 3: Cross multiply
    183.70x = 253.56 × 109.99
  4. Step 4: Simplify right side
    183.70x = 27,889.06
  5. Step 5: Solve for x
    x = 27,889.06/183.70
  6. Step 6: Final answer
    x = 151.82

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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.