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Finding the Fourth Proportional to 400.98, 601.81 and 157.67

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Solution

The fourth proportional to 400.98, 601.81 and 157.67 is: 236.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.98 : 601.81 = 157.67 : x
  2. Step 2: Convert to fraction form
    400.98/601.81 = 157.67/x
  3. Step 3: Cross multiply
    400.98x = 601.81 × 157.67
  4. Step 4: Simplify right side
    400.98x = 94,888.49
  5. Step 5: Solve for x
    x = 94,888.49/400.98
  6. Step 6: Final answer
    x = 236.64

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