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Finding the Fourth Proportional to 332.40, 459.21 and 221.83

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Solution

The fourth proportional to 332.40, 459.21 and 221.83 is: 306.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.40 : 459.21 = 221.83 : x
  2. Step 2: Convert to fraction form
    332.40/459.21 = 221.83/x
  3. Step 3: Cross multiply
    332.40x = 459.21 × 221.83
  4. Step 4: Simplify right side
    332.40x = 101,866.55
  5. Step 5: Solve for x
    x = 101,866.55/332.40
  6. Step 6: Final answer
    x = 306.46

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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.