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Finding the Fourth Proportional to 319.48, 479.12 and 157.28

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Solution

The fourth proportional to 319.48, 479.12 and 157.28 is: 235.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.48 : 479.12 = 157.28 : x
  2. Step 2: Convert to fraction form
    319.48/479.12 = 157.28/x
  3. Step 3: Cross multiply
    319.48x = 479.12 × 157.28
  4. Step 4: Simplify right side
    319.48x = 75,352.81
  5. Step 5: Solve for x
    x = 75,352.81/319.48
  6. Step 6: Final answer
    x = 235.86

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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.