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Finding the Fourth Proportional to 368.86, 509.01 and 203.08

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Solution

The fourth proportional to 368.86, 509.01 and 203.08 is: 280.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.86 : 509.01 = 203.08 : x
  2. Step 2: Convert to fraction form
    368.86/509.01 = 203.08/x
  3. Step 3: Cross multiply
    368.86x = 509.01 × 203.08
  4. Step 4: Simplify right side
    368.86x = 103,369.75
  5. Step 5: Solve for x
    x = 103,369.75/368.86
  6. Step 6: Final answer
    x = 280.24

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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.