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Finding the Fourth Proportional to 182.84, 254 and 181.16

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Solution

The fourth proportional to 182.84, 254 and 181.16 is: 251.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.84 : 254 = 181.16 : x
  2. Step 2: Convert to fraction form
    182.84/254 = 181.16/x
  3. Step 3: Cross multiply
    182.84x = 254 × 181.16
  4. Step 4: Simplify right side
    182.84x = 46,014.64
  5. Step 5: Solve for x
    x = 46,014.64/182.84
  6. Step 6: Final answer
    x = 251.67

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.