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Finding the Fourth Proportional to 191.56, 265.74 and 181.84

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Solution

The fourth proportional to 191.56, 265.74 and 181.84 is: 252.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.56 : 265.74 = 181.84 : x
  2. Step 2: Convert to fraction form
    191.56/265.74 = 181.84/x
  3. Step 3: Cross multiply
    191.56x = 265.74 × 181.84
  4. Step 4: Simplify right side
    191.56x = 48,322.16
  5. Step 5: Solve for x
    x = 48,322.16/191.56
  6. Step 6: Final answer
    x = 252.26

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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.