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Finding the Fourth Proportional to 369.13, 509.40 and 203.36

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Solution

The fourth proportional to 369.13, 509.40 and 203.36 is: 280.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.13 : 509.40 = 203.36 : x
  2. Step 2: Convert to fraction form
    369.13/509.40 = 203.36/x
  3. Step 3: Cross multiply
    369.13x = 509.40 × 203.36
  4. Step 4: Simplify right side
    369.13x = 103,588.02
  5. Step 5: Solve for x
    x = 103,588.02/369.13
  6. Step 6: Final answer
    x = 280.63

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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.