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Finding the Fourth Proportional to 193.64, 290.66 and 184.08

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Solution

The fourth proportional to 193.64, 290.66 and 184.08 is: 276.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.64 : 290.66 = 184.08 : x
  2. Step 2: Convert to fraction form
    193.64/290.66 = 184.08/x
  3. Step 3: Cross multiply
    193.64x = 290.66 × 184.08
  4. Step 4: Simplify right side
    193.64x = 53,504.69
  5. Step 5: Solve for x
    x = 53,504.69/193.64
  6. Step 6: Final answer
    x = 276.31

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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.