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Finding the Fourth Proportional to 293.30, 405.23 and 231.60

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Solution

The fourth proportional to 293.30, 405.23 and 231.60 is: 319.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.30 : 405.23 = 231.60 : x
  2. Step 2: Convert to fraction form
    293.30/405.23 = 231.60/x
  3. Step 3: Cross multiply
    293.30x = 405.23 × 231.60
  4. Step 4: Simplify right side
    293.30x = 93,848.66
  5. Step 5: Solve for x
    x = 93,848.66/293.30
  6. Step 6: Final answer
    x = 319.98

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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.