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Finding the Fourth Proportional to 369.52, 509.76 and 222.16

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Solution

The fourth proportional to 369.52, 509.76 and 222.16 is: 306.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.52 : 509.76 = 222.16 : x
  2. Step 2: Convert to fraction form
    369.52/509.76 = 222.16/x
  3. Step 3: Cross multiply
    369.52x = 509.76 × 222.16
  4. Step 4: Simplify right side
    369.52x = 113,248.28
  5. Step 5: Solve for x
    x = 113,248.28/369.52
  6. Step 6: Final answer
    x = 306.47

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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.