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Finding the Fourth Proportional to 368.94, 509.14 and 203.15

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Solution

The fourth proportional to 368.94, 509.14 and 203.15 is: 280.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.94 : 509.14 = 203.15 : x
  2. Step 2: Convert to fraction form
    368.94/509.14 = 203.15/x
  3. Step 3: Cross multiply
    368.94x = 509.14 × 203.15
  4. Step 4: Simplify right side
    368.94x = 103,432.56
  5. Step 5: Solve for x
    x = 103,432.56/368.94
  6. Step 6: Final answer
    x = 280.35

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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.