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Finding the Fourth Proportional to 321, 481.54 and 158.64

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Solution

The fourth proportional to 321, 481.54 and 158.64 is: 237.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    321 : 481.54 = 158.64 : x
  2. Step 2: Convert to fraction form
    321/481.54 = 158.64/x
  3. Step 3: Cross multiply
    321x = 481.54 × 158.64
  4. Step 4: Simplify right side
    321x = 76,391.51
  5. Step 5: Solve for x
    x = 76,391.51/321
  6. Step 6: Final answer
    x = 237.98

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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.