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Finding the Fourth Proportional to 260.17, 358.84 and 181.51

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Solution

The fourth proportional to 260.17, 358.84 and 181.51 is: 250.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.17 : 358.84 = 181.51 : x
  2. Step 2: Convert to fraction form
    260.17/358.84 = 181.51/x
  3. Step 3: Cross multiply
    260.17x = 358.84 × 181.51
  4. Step 4: Simplify right side
    260.17x = 65,133.05
  5. Step 5: Solve for x
    x = 65,133.05/260.17
  6. Step 6: Final answer
    x = 250.35

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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.