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Finding the Fourth Proportional to 369.02, 509.24 and 203.22

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Solution

The fourth proportional to 369.02, 509.24 and 203.22 is: 280.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.02 : 509.24 = 203.22 : x
  2. Step 2: Convert to fraction form
    369.02/509.24 = 203.22/x
  3. Step 3: Cross multiply
    369.02x = 509.24 × 203.22
  4. Step 4: Simplify right side
    369.02x = 103,489.41
  5. Step 5: Solve for x
    x = 103,489.41/369.02
  6. Step 6: Final answer
    x = 280.45

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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.