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Finding the Fourth Proportional to 187.40, 259.26 and 174.44

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Solution

The fourth proportional to 187.40, 259.26 and 174.44 is: 241.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.40 : 259.26 = 174.44 : x
  2. Step 2: Convert to fraction form
    187.40/259.26 = 174.44/x
  3. Step 3: Cross multiply
    187.40x = 259.26 × 174.44
  4. Step 4: Simplify right side
    187.40x = 45,225.31
  5. Step 5: Solve for x
    x = 45,225.31/187.40
  6. Step 6: Final answer
    x = 241.33

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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.