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Finding the Fourth Proportional to 401.09, 601.58 and 157.79

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Solution

The fourth proportional to 401.09, 601.58 and 157.79 is: 236.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.09 : 601.58 = 157.79 : x
  2. Step 2: Convert to fraction form
    401.09/601.58 = 157.79/x
  3. Step 3: Cross multiply
    401.09x = 601.58 × 157.79
  4. Step 4: Simplify right side
    401.09x = 94,923.31
  5. Step 5: Solve for x
    x = 94,923.31/401.09
  6. Step 6: Final answer
    x = 236.66

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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.