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Finding the Fourth Proportional to 646.45, 969.72 and 184.27

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Solution

The fourth proportional to 646.45, 969.72 and 184.27 is: 276.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.45 : 969.72 = 184.27 : x
  2. Step 2: Convert to fraction form
    646.45/969.72 = 184.27/x
  3. Step 3: Cross multiply
    646.45x = 969.72 × 184.27
  4. Step 4: Simplify right side
    646.45x = 178,690.30
  5. Step 5: Solve for x
    x = 178,690.30/646.45
  6. Step 6: Final answer
    x = 276.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.