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Finding the Fourth Proportional to 215.19, 320.32 and 205.23

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Solution

The fourth proportional to 215.19, 320.32 and 205.23 is: 305.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.19 : 320.32 = 205.23 : x
  2. Step 2: Convert to fraction form
    215.19/320.32 = 205.23/x
  3. Step 3: Cross multiply
    215.19x = 320.32 × 205.23
  4. Step 4: Simplify right side
    215.19x = 65,739.27
  5. Step 5: Solve for x
    x = 65,739.27/215.19
  6. Step 6: Final answer
    x = 305.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.