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Finding the Fourth Proportional to 289.47, 399.29 and 185.97

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Solution

The fourth proportional to 289.47, 399.29 and 185.97 is: 256.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.47 : 399.29 = 185.97 : x
  2. Step 2: Convert to fraction form
    289.47/399.29 = 185.97/x
  3. Step 3: Cross multiply
    289.47x = 399.29 × 185.97
  4. Step 4: Simplify right side
    289.47x = 74,253.96
  5. Step 5: Solve for x
    x = 74,253.96/289.47
  6. Step 6: Final answer
    x = 256.52

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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.