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Finding the Fourth Proportional to 293.70, 405.32 and 160.93

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Solution

The fourth proportional to 293.70, 405.32 and 160.93 is: 222.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.70 : 405.32 = 160.93 : x
  2. Step 2: Convert to fraction form
    293.70/405.32 = 160.93/x
  3. Step 3: Cross multiply
    293.70x = 405.32 × 160.93
  4. Step 4: Simplify right side
    293.70x = 65,228.15
  5. Step 5: Solve for x
    x = 65,228.15/293.70
  6. Step 6: Final answer
    x = 222.09

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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.