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Finding the Fourth Proportional to 369.66, 509.94 and 222.24

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Solution

The fourth proportional to 369.66, 509.94 and 222.24 is: 306.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.66 : 509.94 = 222.24 : x
  2. Step 2: Convert to fraction form
    369.66/509.94 = 222.24/x
  3. Step 3: Cross multiply
    369.66x = 509.94 × 222.24
  4. Step 4: Simplify right side
    369.66x = 113,329.07
  5. Step 5: Solve for x
    x = 113,329.07/369.66
  6. Step 6: Final answer
    x = 306.58

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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.