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Finding the Fourth Proportional to 401.20, 601.74 and 157.84

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Solution

The fourth proportional to 401.20, 601.74 and 157.84 is: 236.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.20 : 601.74 = 157.84 : x
  2. Step 2: Convert to fraction form
    401.20/601.74 = 157.84/x
  3. Step 3: Cross multiply
    401.20x = 601.74 × 157.84
  4. Step 4: Simplify right side
    401.20x = 94,978.64
  5. Step 5: Solve for x
    x = 94,978.64/401.20
  6. Step 6: Final answer
    x = 236.74

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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.