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Finding the Fourth Proportional to 189.51, 261.62 and 166.22

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Solution

The fourth proportional to 189.51, 261.62 and 166.22 is: 229.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.51 : 261.62 = 166.22 : x
  2. Step 2: Convert to fraction form
    189.51/261.62 = 166.22/x
  3. Step 3: Cross multiply
    189.51x = 261.62 × 166.22
  4. Step 4: Simplify right side
    189.51x = 43,484.34
  5. Step 5: Solve for x
    x = 43,484.34/189.51
  6. Step 6: Final answer
    x = 229.46

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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.