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Finding the Fourth Proportional to 319.98, 480.14 and 157.64

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Solution

The fourth proportional to 319.98, 480.14 and 157.64 is: 236.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.98 : 480.14 = 157.64 : x
  2. Step 2: Convert to fraction form
    319.98/480.14 = 157.64/x
  3. Step 3: Cross multiply
    319.98x = 480.14 × 157.64
  4. Step 4: Simplify right side
    319.98x = 75,688.48
  5. Step 5: Solve for x
    x = 75,688.48/319.98
  6. Step 6: Final answer
    x = 236.54

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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.