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Finding the Fourth Proportional to 292.98, 439.78 and 119.76

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Solution

The fourth proportional to 292.98, 439.78 and 119.76 is: 179.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.98 : 439.78 = 119.76 : x
  2. Step 2: Convert to fraction form
    292.98/439.78 = 119.76/x
  3. Step 3: Cross multiply
    292.98x = 439.78 × 119.76
  4. Step 4: Simplify right side
    292.98x = 52,668.05
  5. Step 5: Solve for x
    x = 52,668.05/292.98
  6. Step 6: Final answer
    x = 179.77

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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.