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Finding the Fourth Proportional to 646.25, 969.38 and 184.04

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Solution

The fourth proportional to 646.25, 969.38 and 184.04 is: 276.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.25 : 969.38 = 184.04 : x
  2. Step 2: Convert to fraction form
    646.25/969.38 = 184.04/x
  3. Step 3: Cross multiply
    646.25x = 969.38 × 184.04
  4. Step 4: Simplify right side
    646.25x = 178,400.31
  5. Step 5: Solve for x
    x = 178,400.31/646.25
  6. Step 6: Final answer
    x = 276.05

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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.