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Finding the Fourth Proportional to 260.34, 390.38 and 116

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Solution

The fourth proportional to 260.34, 390.38 and 116 is: 173.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.34 : 390.38 = 116 : x
  2. Step 2: Convert to fraction form
    260.34/390.38 = 116/x
  3. Step 3: Cross multiply
    260.34x = 390.38 × 116
  4. Step 4: Simplify right side
    260.34x = 45,284.08
  5. Step 5: Solve for x
    x = 45,284.08/260.34
  6. Step 6: Final answer
    x = 173.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.