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Finding the Fourth Proportional to 260.21, 358.99 and 177.37

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Solution

The fourth proportional to 260.21, 358.99 and 177.37 is: 244.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.21 : 358.99 = 177.37 : x
  2. Step 2: Convert to fraction form
    260.21/358.99 = 177.37/x
  3. Step 3: Cross multiply
    260.21x = 358.99 × 177.37
  4. Step 4: Simplify right side
    260.21x = 63,672.72
  5. Step 5: Solve for x
    x = 63,672.72/260.21
  6. Step 6: Final answer
    x = 244.70

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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.