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Finding the Fourth Proportional to 289.16, 399.31 and 185.84

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Solution

The fourth proportional to 289.16, 399.31 and 185.84 is: 256.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.16 : 399.31 = 185.84 : x
  2. Step 2: Convert to fraction form
    289.16/399.31 = 185.84/x
  3. Step 3: Cross multiply
    289.16x = 399.31 × 185.84
  4. Step 4: Simplify right side
    289.16x = 74,207.77
  5. Step 5: Solve for x
    x = 74,207.77/289.16
  6. Step 6: Final answer
    x = 256.63

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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.