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Finding the Fourth Proportional to 260.22, 358.74 and 181.42

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Solution

The fourth proportional to 260.22, 358.74 and 181.42 is: 250.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.22 : 358.74 = 181.42 : x
  2. Step 2: Convert to fraction form
    260.22/358.74 = 181.42/x
  3. Step 3: Cross multiply
    260.22x = 358.74 × 181.42
  4. Step 4: Simplify right side
    260.22x = 65,081.03
  5. Step 5: Solve for x
    x = 65,081.03/260.22
  6. Step 6: Final answer
    x = 250.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.