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Finding the Fourth Proportional to 296.00, 443.33 and 142.04

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Solution

The fourth proportional to 296.00, 443.33 and 142.04 is: 212.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.00 : 443.33 = 142.04 : x
  2. Step 2: Convert to fraction form
    296.00/443.33 = 142.04/x
  3. Step 3: Cross multiply
    296.00x = 443.33 × 142.04
  4. Step 4: Simplify right side
    296.00x = 62,968.77
  5. Step 5: Solve for x
    x = 62,968.77/296.00
  6. Step 6: Final answer
    x = 212.73

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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.