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Finding the Fourth Proportional to 290.62, 401.14 and 180.16

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Solution

The fourth proportional to 290.62, 401.14 and 180.16 is: 248.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.62 : 401.14 = 180.16 : x
  2. Step 2: Convert to fraction form
    290.62/401.14 = 180.16/x
  3. Step 3: Cross multiply
    290.62x = 401.14 × 180.16
  4. Step 4: Simplify right side
    290.62x = 72,269.38
  5. Step 5: Solve for x
    x = 72,269.38/290.62
  6. Step 6: Final answer
    x = 248.67

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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.