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Finding the Fourth Proportional to 295.69, 443.61 and 158.65

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Solution

The fourth proportional to 295.69, 443.61 and 158.65 is: 238.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.69 : 443.61 = 158.65 : x
  2. Step 2: Convert to fraction form
    295.69/443.61 = 158.65/x
  3. Step 3: Cross multiply
    295.69x = 443.61 × 158.65
  4. Step 4: Simplify right side
    295.69x = 70,378.73
  5. Step 5: Solve for x
    x = 70,378.73/295.69
  6. Step 6: Final answer
    x = 238.02

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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.