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Finding the Fourth Proportional to 289.79, 399.91 and 165.45

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Solution

The fourth proportional to 289.79, 399.91 and 165.45 is: 228.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.79 : 399.91 = 165.45 : x
  2. Step 2: Convert to fraction form
    289.79/399.91 = 165.45/x
  3. Step 3: Cross multiply
    289.79x = 399.91 × 165.45
  4. Step 4: Simplify right side
    289.79x = 66,165.11
  5. Step 5: Solve for x
    x = 66,165.11/289.79
  6. Step 6: Final answer
    x = 228.32

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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.