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Finding the Fourth Proportional to 320.58, 481.14 and 128.34

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Solution

The fourth proportional to 320.58, 481.14 and 128.34 is: 192.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.58 : 481.14 = 128.34 : x
  2. Step 2: Convert to fraction form
    320.58/481.14 = 128.34/x
  3. Step 3: Cross multiply
    320.58x = 481.14 × 128.34
  4. Step 4: Simplify right side
    320.58x = 61,749.51
  5. Step 5: Solve for x
    x = 61,749.51/320.58
  6. Step 6: Final answer
    x = 192.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.