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Finding the Fourth Proportional to 221.37, 332.00 and 99.57

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Solution

The fourth proportional to 221.37, 332.00 and 99.57 is: 149.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.37 : 332.00 = 99.57 : x
  2. Step 2: Convert to fraction form
    221.37/332.00 = 99.57/x
  3. Step 3: Cross multiply
    221.37x = 332.00 × 99.57
  4. Step 4: Simplify right side
    221.37x = 33,056.74
  5. Step 5: Solve for x
    x = 33,056.74/221.37
  6. Step 6: Final answer
    x = 149.33

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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.