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Finding the Fourth Proportional to 368.85, 509.01 and 203.06

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Solution

The fourth proportional to 368.85, 509.01 and 203.06 is: 280.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.85 : 509.01 = 203.06 : x
  2. Step 2: Convert to fraction form
    368.85/509.01 = 203.06/x
  3. Step 3: Cross multiply
    368.85x = 509.01 × 203.06
  4. Step 4: Simplify right side
    368.85x = 103,357.03
  5. Step 5: Solve for x
    x = 103,357.03/368.85
  6. Step 6: Final answer
    x = 280.21

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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.