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Finding the Fourth Proportional to 320.02, 441.56 and 195.64

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Solution

The fourth proportional to 320.02, 441.56 and 195.64 is: 269.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.02 : 441.56 = 195.64 : x
  2. Step 2: Convert to fraction form
    320.02/441.56 = 195.64/x
  3. Step 3: Cross multiply
    320.02x = 441.56 × 195.64
  4. Step 4: Simplify right side
    320.02x = 86,386.18
  5. Step 5: Solve for x
    x = 86,386.18/320.02
  6. Step 6: Final answer
    x = 269.94

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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.