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Finding the Fourth Proportional to 332.90, 459.54 and 201.88

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Solution

The fourth proportional to 332.90, 459.54 and 201.88 is: 278.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.90 : 459.54 = 201.88 : x
  2. Step 2: Convert to fraction form
    332.90/459.54 = 201.88/x
  3. Step 3: Cross multiply
    332.90x = 459.54 × 201.88
  4. Step 4: Simplify right side
    332.90x = 92,771.94
  5. Step 5: Solve for x
    x = 92,771.94/332.90
  6. Step 6: Final answer
    x = 278.68

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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.