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Finding the Fourth Proportional to 320.34, 480.78 and 158.16

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Solution

The fourth proportional to 320.34, 480.78 and 158.16 is: 237.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.34 : 480.78 = 158.16 : x
  2. Step 2: Convert to fraction form
    320.34/480.78 = 158.16/x
  3. Step 3: Cross multiply
    320.34x = 480.78 × 158.16
  4. Step 4: Simplify right side
    320.34x = 76,040.16
  5. Step 5: Solve for x
    x = 76,040.16/320.34
  6. Step 6: Final answer
    x = 237.37

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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.