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Finding the Fourth Proportional to 174.07, 239.94 and 114.96

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Solution

The fourth proportional to 174.07, 239.94 and 114.96 is: 158.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.07 : 239.94 = 114.96 : x
  2. Step 2: Convert to fraction form
    174.07/239.94 = 114.96/x
  3. Step 3: Cross multiply
    174.07x = 239.94 × 114.96
  4. Step 4: Simplify right side
    174.07x = 27,583.50
  5. Step 5: Solve for x
    x = 27,583.50/174.07
  6. Step 6: Final answer
    x = 158.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.