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Finding the Fourth Proportional to 345.62, 518.26 and 162.86

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Solution

The fourth proportional to 345.62, 518.26 and 162.86 is: 244.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.62 : 518.26 = 162.86 : x
  2. Step 2: Convert to fraction form
    345.62/518.26 = 162.86/x
  3. Step 3: Cross multiply
    345.62x = 518.26 × 162.86
  4. Step 4: Simplify right side
    345.62x = 84,403.82
  5. Step 5: Solve for x
    x = 84,403.82/345.62
  6. Step 6: Final answer
    x = 244.21

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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.