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Finding the Fourth Proportional to 264.96, 397.46 and 162.45

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Solution

The fourth proportional to 264.96, 397.46 and 162.45 is: 243.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.96 : 397.46 = 162.45 : x
  2. Step 2: Convert to fraction form
    264.96/397.46 = 162.45/x
  3. Step 3: Cross multiply
    264.96x = 397.46 × 162.45
  4. Step 4: Simplify right side
    264.96x = 64,566.56
  5. Step 5: Solve for x
    x = 64,566.56/264.96
  6. Step 6: Final answer
    x = 243.68

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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.