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Finding the Fourth Proportional to 288.88, 398.65 and 185.56

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Solution

The fourth proportional to 288.88, 398.65 and 185.56 is: 256.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.88 : 398.65 = 185.56 : x
  2. Step 2: Convert to fraction form
    288.88/398.65 = 185.56/x
  3. Step 3: Cross multiply
    288.88x = 398.65 × 185.56
  4. Step 4: Simplify right side
    288.88x = 73,971.50
  5. Step 5: Solve for x
    x = 73,971.50/288.88
  6. Step 6: Final answer
    x = 256.07

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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.