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Finding the Fourth Proportional to 296.04, 443.67 and 141.65

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Solution

The fourth proportional to 296.04, 443.67 and 141.65 is: 212.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.04 : 443.67 = 141.65 : x
  2. Step 2: Convert to fraction form
    296.04/443.67 = 141.65/x
  3. Step 3: Cross multiply
    296.04x = 443.67 × 141.65
  4. Step 4: Simplify right side
    296.04x = 62,843.64
  5. Step 5: Solve for x
    x = 62,843.64/296.04
  6. Step 6: Final answer
    x = 212.28

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Why These Related Problems?

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