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Finding the Fourth Proportional to 290.10, 434.91 and 127.65

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Solution

The fourth proportional to 290.10, 434.91 and 127.65 is: 191.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.10 : 434.91 = 127.65 : x
  2. Step 2: Convert to fraction form
    290.10/434.91 = 127.65/x
  3. Step 3: Cross multiply
    290.10x = 434.91 × 127.65
  4. Step 4: Simplify right side
    290.10x = 55,516.26
  5. Step 5: Solve for x
    x = 55,516.26/290.10
  6. Step 6: Final answer
    x = 191.37

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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.