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Finding the Fourth Proportional to 646.23, 969.46 and 184.00

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Solution

The fourth proportional to 646.23, 969.46 and 184.00 is: 276.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.23 : 969.46 = 184.00 : x
  2. Step 2: Convert to fraction form
    646.23/969.46 = 184.00/x
  3. Step 3: Cross multiply
    646.23x = 969.46 × 184.00
  4. Step 4: Simplify right side
    646.23x = 178,376.59
  5. Step 5: Solve for x
    x = 178,376.59/646.23
  6. Step 6: Final answer
    x = 276.03

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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.