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Finding the Fourth Proportional to 183.89, 253.76 and 110.21

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Solution

The fourth proportional to 183.89, 253.76 and 110.21 is: 152.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.89 : 253.76 = 110.21 : x
  2. Step 2: Convert to fraction form
    183.89/253.76 = 110.21/x
  3. Step 3: Cross multiply
    183.89x = 253.76 × 110.21
  4. Step 4: Simplify right side
    183.89x = 27,965.07
  5. Step 5: Solve for x
    x = 27,965.07/183.89
  6. Step 6: Final answer
    x = 152.08

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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.