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Finding the Fourth Proportional to 293.65, 405.24 and 162.67

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Solution

The fourth proportional to 293.65, 405.24 and 162.67 is: 224.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.65 : 405.24 = 162.67 : x
  2. Step 2: Convert to fraction form
    293.65/405.24 = 162.67/x
  3. Step 3: Cross multiply
    293.65x = 405.24 × 162.67
  4. Step 4: Simplify right side
    293.65x = 65,920.39
  5. Step 5: Solve for x
    x = 65,920.39/293.65
  6. Step 6: Final answer
    x = 224.49

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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.