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Finding the Fourth Proportional to 180.53, 249 and 110.51

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Solution

The fourth proportional to 180.53, 249 and 110.51 is: 152.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.53 : 249 = 110.51 : x
  2. Step 2: Convert to fraction form
    180.53/249 = 110.51/x
  3. Step 3: Cross multiply
    180.53x = 249 × 110.51
  4. Step 4: Simplify right side
    180.53x = 27,516.99
  5. Step 5: Solve for x
    x = 27,516.99/180.53
  6. Step 6: Final answer
    x = 152.42

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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.