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Finding the Fourth Proportional to 208.84, 314.49 and 182.10

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Solution

The fourth proportional to 208.84, 314.49 and 182.10 is: 274.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.84 : 314.49 = 182.10 : x
  2. Step 2: Convert to fraction form
    208.84/314.49 = 182.10/x
  3. Step 3: Cross multiply
    208.84x = 314.49 × 182.10
  4. Step 4: Simplify right side
    208.84x = 57,268.63
  5. Step 5: Solve for x
    x = 57,268.63/208.84
  6. Step 6: Final answer
    x = 274.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.