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Finding the Fourth Proportional to 231.03, 345.92 and 162.45

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Solution

The fourth proportional to 231.03, 345.92 and 162.45 is: 243.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.03 : 345.92 = 162.45 : x
  2. Step 2: Convert to fraction form
    231.03/345.92 = 162.45/x
  3. Step 3: Cross multiply
    231.03x = 345.92 × 162.45
  4. Step 4: Simplify right side
    231.03x = 56,193.89
  5. Step 5: Solve for x
    x = 56,193.89/231.03
  6. Step 6: Final answer
    x = 243.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.