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Finding the Fourth Proportional to 219.53, 302.94 and 119.95

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Solution

The fourth proportional to 219.53, 302.94 and 119.95 is: 165.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.53 : 302.94 = 119.95 : x
  2. Step 2: Convert to fraction form
    219.53/302.94 = 119.95/x
  3. Step 3: Cross multiply
    219.53x = 302.94 × 119.95
  4. Step 4: Simplify right side
    219.53x = 36,337.65
  5. Step 5: Solve for x
    x = 36,337.65/219.53
  6. Step 6: Final answer
    x = 165.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.