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Finding the Fourth Proportional to 293.85, 405.53 and 162.90

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Solution

The fourth proportional to 293.85, 405.53 and 162.90 is: 224.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.85 : 405.53 = 162.90 : x
  2. Step 2: Convert to fraction form
    293.85/405.53 = 162.90/x
  3. Step 3: Cross multiply
    293.85x = 405.53 × 162.90
  4. Step 4: Simplify right side
    293.85x = 66,060.02
  5. Step 5: Solve for x
    x = 66,060.02/293.85
  6. Step 6: Final answer
    x = 224.81

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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.