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Finding the Fourth Proportional to 295.69, 408.06 and 162.93

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Solution

The fourth proportional to 295.69, 408.06 and 162.93 is: 224.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.69 : 408.06 = 162.93 : x
  2. Step 2: Convert to fraction form
    295.69/408.06 = 162.93/x
  3. Step 3: Cross multiply
    295.69x = 408.06 × 162.93
  4. Step 4: Simplify right side
    295.69x = 66,483.18
  5. Step 5: Solve for x
    x = 66,483.18/295.69
  6. Step 6: Final answer
    x = 224.84

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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.