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Finding the Fourth Proportional to 290.26, 434.80 and 187.06

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Solution

The fourth proportional to 290.26, 434.80 and 187.06 is: 280.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.26 : 434.80 = 187.06 : x
  2. Step 2: Convert to fraction form
    290.26/434.80 = 187.06/x
  3. Step 3: Cross multiply
    290.26x = 434.80 × 187.06
  4. Step 4: Simplify right side
    290.26x = 81,333.69
  5. Step 5: Solve for x
    x = 81,333.69/290.26
  6. Step 6: Final answer
    x = 280.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.