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Finding the Fourth Proportional to 290.81, 435.17 and 174.85

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Solution

The fourth proportional to 290.81, 435.17 and 174.85 is: 261.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.81 : 435.17 = 174.85 : x
  2. Step 2: Convert to fraction form
    290.81/435.17 = 174.85/x
  3. Step 3: Cross multiply
    290.81x = 435.17 × 174.85
  4. Step 4: Simplify right side
    290.81x = 76,088.82
  5. Step 5: Solve for x
    x = 76,088.82/290.81
  6. Step 6: Final answer
    x = 261.64

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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.