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Finding the Fourth Proportional to 320.76, 480.87 and 147.37

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Solution

The fourth proportional to 320.76, 480.87 and 147.37 is: 220.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.76 : 480.87 = 147.37 : x
  2. Step 2: Convert to fraction form
    320.76/480.87 = 147.37/x
  3. Step 3: Cross multiply
    320.76x = 480.87 × 147.37
  4. Step 4: Simplify right side
    320.76x = 70,865.81
  5. Step 5: Solve for x
    x = 70,865.81/320.76
  6. Step 6: Final answer
    x = 220.93

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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.