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Finding the Fourth Proportional to 174, 260.46 and 116.10

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Solution

The fourth proportional to 174, 260.46 and 116.10 is: 173.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    174 : 260.46 = 116.10 : x
  2. Step 2: Convert to fraction form
    174/260.46 = 116.10/x
  3. Step 3: Cross multiply
    174x = 260.46 × 116.10
  4. Step 4: Simplify right side
    174x = 30,239.41
  5. Step 5: Solve for x
    x = 30,239.41/174
  6. Step 6: Final answer
    x = 173.79

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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.