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Finding the Fourth Proportional to 405.66, 608.20 and 200.18

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Solution

The fourth proportional to 405.66, 608.20 and 200.18 is: 300.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.66 : 608.20 = 200.18 : x
  2. Step 2: Convert to fraction form
    405.66/608.20 = 200.18/x
  3. Step 3: Cross multiply
    405.66x = 608.20 × 200.18
  4. Step 4: Simplify right side
    405.66x = 121,748.48
  5. Step 5: Solve for x
    x = 121,748.48/405.66
  6. Step 6: Final answer
    x = 300.12

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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.