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Finding the Fourth Proportional to 320.47, 442.24 and 178.67

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Solution

The fourth proportional to 320.47, 442.24 and 178.67 is: 246.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.47 : 442.24 = 178.67 : x
  2. Step 2: Convert to fraction form
    320.47/442.24 = 178.67/x
  3. Step 3: Cross multiply
    320.47x = 442.24 × 178.67
  4. Step 4: Simplify right side
    320.47x = 79,016.68
  5. Step 5: Solve for x
    x = 79,016.68/320.47
  6. Step 6: Final answer
    x = 246.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.