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Finding the Fourth Proportional to 320, 480.04 and 157.64

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Solution

The fourth proportional to 320, 480.04 and 157.64 is: 236.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    320 : 480.04 = 157.64 : x
  2. Step 2: Convert to fraction form
    320/480.04 = 157.64/x
  3. Step 3: Cross multiply
    320x = 480.04 × 157.64
  4. Step 4: Simplify right side
    320x = 75,673.51
  5. Step 5: Solve for x
    x = 75,673.51/320
  6. Step 6: Final answer
    x = 236.48

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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.