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Finding the Fourth Proportional to 400.96, 601.68 and 157.60

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Solution

The fourth proportional to 400.96, 601.68 and 157.60 is: 236.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.96 : 601.68 = 157.60 : x
  2. Step 2: Convert to fraction form
    400.96/601.68 = 157.60/x
  3. Step 3: Cross multiply
    400.96x = 601.68 × 157.60
  4. Step 4: Simplify right side
    400.96x = 94,824.77
  5. Step 5: Solve for x
    x = 94,824.77/400.96
  6. Step 6: Final answer
    x = 236.49

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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.