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Finding the Fourth Proportional to 369.61, 509.91 and 222.14

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Solution

The fourth proportional to 369.61, 509.91 and 222.14 is: 306.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.61 : 509.91 = 222.14 : x
  2. Step 2: Convert to fraction form
    369.61/509.91 = 222.14/x
  3. Step 3: Cross multiply
    369.61x = 509.91 × 222.14
  4. Step 4: Simplify right side
    369.61x = 113,271.41
  5. Step 5: Solve for x
    x = 113,271.41/369.61
  6. Step 6: Final answer
    x = 306.46

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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.