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Finding the Fourth Proportional to 231.36, 345.72 and 166.05

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Solution

The fourth proportional to 231.36, 345.72 and 166.05 is: 248.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.36 : 345.72 = 166.05 : x
  2. Step 2: Convert to fraction form
    231.36/345.72 = 166.05/x
  3. Step 3: Cross multiply
    231.36x = 345.72 × 166.05
  4. Step 4: Simplify right side
    231.36x = 57,406.49
  5. Step 5: Solve for x
    x = 57,406.49/231.36
  6. Step 6: Final answer
    x = 248.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.