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Finding the Fourth Proportional to 405.81, 608.68 and 200.18

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Solution

The fourth proportional to 405.81, 608.68 and 200.18 is: 300.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.81 : 608.68 = 200.18 : x
  2. Step 2: Convert to fraction form
    405.81/608.68 = 200.18/x
  3. Step 3: Cross multiply
    405.81x = 608.68 × 200.18
  4. Step 4: Simplify right side
    405.81x = 121,842.77
  5. Step 5: Solve for x
    x = 121,842.77/405.81
  6. Step 6: Final answer
    x = 300.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.