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Finding the Fourth Proportional to 189.57, 259.93 and 171.07

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Solution

The fourth proportional to 189.57, 259.93 and 171.07 is: 234.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.57 : 259.93 = 171.07 : x
  2. Step 2: Convert to fraction form
    189.57/259.93 = 171.07/x
  3. Step 3: Cross multiply
    189.57x = 259.93 × 171.07
  4. Step 4: Simplify right side
    189.57x = 44,466.23
  5. Step 5: Solve for x
    x = 44,466.23/189.57
  6. Step 6: Final answer
    x = 234.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.