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Finding the Fourth Proportional to 369.55, 509.84 and 222.23

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Solution

The fourth proportional to 369.55, 509.84 and 222.23 is: 306.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.55 : 509.84 = 222.23 : x
  2. Step 2: Convert to fraction form
    369.55/509.84 = 222.23/x
  3. Step 3: Cross multiply
    369.55x = 509.84 × 222.23
  4. Step 4: Simplify right side
    369.55x = 113,298.08
  5. Step 5: Solve for x
    x = 113,298.08/369.55
  6. Step 6: Final answer
    x = 306.59

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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.