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Finding the Fourth Proportional to 288.15, 397.67 and 188.63

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Solution

The fourth proportional to 288.15, 397.67 and 188.63 is: 260.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.15 : 397.67 = 188.63 : x
  2. Step 2: Convert to fraction form
    288.15/397.67 = 188.63/x
  3. Step 3: Cross multiply
    288.15x = 397.67 × 188.63
  4. Step 4: Simplify right side
    288.15x = 75,009.56
  5. Step 5: Solve for x
    x = 75,009.56/288.15
  6. Step 6: Final answer
    x = 260.31

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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.