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Finding the Fourth Proportional to 208, 286.63 and 184.51

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Solution

The fourth proportional to 208, 286.63 and 184.51 is: 254.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    208 : 286.63 = 184.51 : x
  2. Step 2: Convert to fraction form
    208/286.63 = 184.51/x
  3. Step 3: Cross multiply
    208x = 286.63 × 184.51
  4. Step 4: Simplify right side
    208x = 52,886.10
  5. Step 5: Solve for x
    x = 52,886.10/208
  6. Step 6: Final answer
    x = 254.26

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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.