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Finding the Fourth Proportional to 296.06, 443.68 and 133.45

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Solution

The fourth proportional to 296.06, 443.68 and 133.45 is: 199.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.06 : 443.68 = 133.45 : x
  2. Step 2: Convert to fraction form
    296.06/443.68 = 133.45/x
  3. Step 3: Cross multiply
    296.06x = 443.68 × 133.45
  4. Step 4: Simplify right side
    296.06x = 59,207.65
  5. Step 5: Solve for x
    x = 59,207.65/296.06
  6. Step 6: Final answer
    x = 199.99

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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.