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Finding the Fourth Proportional to 260.21, 358.97 and 177.18

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Solution

The fourth proportional to 260.21, 358.97 and 177.18 is: 244.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.21 : 358.97 = 177.18 : x
  2. Step 2: Convert to fraction form
    260.21/358.97 = 177.18/x
  3. Step 3: Cross multiply
    260.21x = 358.97 × 177.18
  4. Step 4: Simplify right side
    260.21x = 63,601.42
  5. Step 5: Solve for x
    x = 63,601.42/260.21
  6. Step 6: Final answer
    x = 244.43

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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.