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Finding the Fourth Proportional to 321.63, 482.05 and 148.42

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Solution

The fourth proportional to 321.63, 482.05 and 148.42 is: 222.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.63 : 482.05 = 148.42 : x
  2. Step 2: Convert to fraction form
    321.63/482.05 = 148.42/x
  3. Step 3: Cross multiply
    321.63x = 482.05 × 148.42
  4. Step 4: Simplify right side
    321.63x = 71,545.86
  5. Step 5: Solve for x
    x = 71,545.86/321.63
  6. Step 6: Final answer
    x = 222.45

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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.