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Finding the Fourth Proportional to 369.65, 509.96 and 212.19

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Solution

The fourth proportional to 369.65, 509.96 and 212.19 is: 292.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.65 : 509.96 = 212.19 : x
  2. Step 2: Convert to fraction form
    369.65/509.96 = 212.19/x
  3. Step 3: Cross multiply
    369.65x = 509.96 × 212.19
  4. Step 4: Simplify right side
    369.65x = 108,208.41
  5. Step 5: Solve for x
    x = 108,208.41/369.65
  6. Step 6: Final answer
    x = 292.73

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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.