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Finding the Fourth Proportional to 290.76, 401.07 and 180.20

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Solution

The fourth proportional to 290.76, 401.07 and 180.20 is: 248.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.76 : 401.07 = 180.20 : x
  2. Step 2: Convert to fraction form
    290.76/401.07 = 180.20/x
  3. Step 3: Cross multiply
    290.76x = 401.07 × 180.20
  4. Step 4: Simplify right side
    290.76x = 72,270.81
  5. Step 5: Solve for x
    x = 72,270.81/290.76
  6. Step 6: Final answer
    x = 248.56

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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.