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Finding the Fourth Proportional to 387.54, 581.33 and 192.64

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Solution

The fourth proportional to 387.54, 581.33 and 192.64 is: 288.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.54 : 581.33 = 192.64 : x
  2. Step 2: Convert to fraction form
    387.54/581.33 = 192.64/x
  3. Step 3: Cross multiply
    387.54x = 581.33 × 192.64
  4. Step 4: Simplify right side
    387.54x = 111,986.44
  5. Step 5: Solve for x
    x = 111,986.44/387.54
  6. Step 6: Final answer
    x = 288.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.