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Finding the Fourth Proportional to 405.29, 608.16 and 161.83

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Solution

The fourth proportional to 405.29, 608.16 and 161.83 is: 242.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.29 : 608.16 = 161.83 : x
  2. Step 2: Convert to fraction form
    405.29/608.16 = 161.83/x
  3. Step 3: Cross multiply
    405.29x = 608.16 × 161.83
  4. Step 4: Simplify right side
    405.29x = 98,418.53
  5. Step 5: Solve for x
    x = 98,418.53/405.29
  6. Step 6: Final answer
    x = 242.83

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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.