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Finding the Fourth Proportional to 405.82, 608.71 and 158.98

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Solution

The fourth proportional to 405.82, 608.71 and 158.98 is: 238.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.82 : 608.71 = 158.98 : x
  2. Step 2: Convert to fraction form
    405.82/608.71 = 158.98/x
  3. Step 3: Cross multiply
    405.82x = 608.71 × 158.98
  4. Step 4: Simplify right side
    405.82x = 96,771.92
  5. Step 5: Solve for x
    x = 96,771.92/405.82
  6. Step 6: Final answer
    x = 238.46

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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.