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Finding the Fourth Proportional to 291.03, 401.48 and 180.47

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Solution

The fourth proportional to 291.03, 401.48 and 180.47 is: 248.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.03 : 401.48 = 180.47 : x
  2. Step 2: Convert to fraction form
    291.03/401.48 = 180.47/x
  3. Step 3: Cross multiply
    291.03x = 401.48 × 180.47
  4. Step 4: Simplify right side
    291.03x = 72,453.09
  5. Step 5: Solve for x
    x = 72,453.09/291.03
  6. Step 6: Final answer
    x = 248.95

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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.