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Finding the Fourth Proportional to 368.92, 509.10 and 203.14

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Solution

The fourth proportional to 368.92, 509.10 and 203.14 is: 280.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.92 : 509.10 = 203.14 : x
  2. Step 2: Convert to fraction form
    368.92/509.10 = 203.14/x
  3. Step 3: Cross multiply
    368.92x = 509.10 × 203.14
  4. Step 4: Simplify right side
    368.92x = 103,418.57
  5. Step 5: Solve for x
    x = 103,418.57/368.92
  6. Step 6: Final answer
    x = 280.33

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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.