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Finding the Fourth Proportional to 293.72, 405.06 and 205.16

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Solution

The fourth proportional to 293.72, 405.06 and 205.16 is: 282.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.72 : 405.06 = 205.16 : x
  2. Step 2: Convert to fraction form
    293.72/405.06 = 205.16/x
  3. Step 3: Cross multiply
    293.72x = 405.06 × 205.16
  4. Step 4: Simplify right side
    293.72x = 83,102.11
  5. Step 5: Solve for x
    x = 83,102.11/293.72
  6. Step 6: Final answer
    x = 282.93

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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.