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Finding the Fourth Proportional to 183.50, 275.18 and 154.81

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Solution

The fourth proportional to 183.50, 275.18 and 154.81 is: 232.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.50 : 275.18 = 154.81 : x
  2. Step 2: Convert to fraction form
    183.50/275.18 = 154.81/x
  3. Step 3: Cross multiply
    183.50x = 275.18 × 154.81
  4. Step 4: Simplify right side
    183.50x = 42,599.15
  5. Step 5: Solve for x
    x = 42,599.15/183.50
  6. Step 6: Final answer
    x = 232.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.