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Finding the Fourth Proportional to 290.76, 401.14 and 180.18

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Solution

The fourth proportional to 290.76, 401.14 and 180.18 is: 248.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.76 : 401.14 = 180.18 : x
  2. Step 2: Convert to fraction form
    290.76/401.14 = 180.18/x
  3. Step 3: Cross multiply
    290.76x = 401.14 × 180.18
  4. Step 4: Simplify right side
    290.76x = 72,277.41
  5. Step 5: Solve for x
    x = 72,277.41/290.76
  6. Step 6: Final answer
    x = 248.58

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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.