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Finding the Fourth Proportional to 290.78, 436.49 and 182.63

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Solution

The fourth proportional to 290.78, 436.49 and 182.63 is: 274.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.78 : 436.49 = 182.63 : x
  2. Step 2: Convert to fraction form
    290.78/436.49 = 182.63/x
  3. Step 3: Cross multiply
    290.78x = 436.49 × 182.63
  4. Step 4: Simplify right side
    290.78x = 79,714.44
  5. Step 5: Solve for x
    x = 79,714.44/290.78
  6. Step 6: Final answer
    x = 274.14

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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.