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Finding the Fourth Proportional to 293.42, 405.05 and 195.01

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Solution

The fourth proportional to 293.42, 405.05 and 195.01 is: 269.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.42 : 405.05 = 195.01 : x
  2. Step 2: Convert to fraction form
    293.42/405.05 = 195.01/x
  3. Step 3: Cross multiply
    293.42x = 405.05 × 195.01
  4. Step 4: Simplify right side
    293.42x = 78,987.91
  5. Step 5: Solve for x
    x = 78,987.91/293.42
  6. Step 6: Final answer
    x = 269.20

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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.