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Finding the Fourth Proportional to 332.76, 459.13 and 201.76

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Solution

The fourth proportional to 332.76, 459.13 and 201.76 is: 278.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.76 : 459.13 = 201.76 : x
  2. Step 2: Convert to fraction form
    332.76/459.13 = 201.76/x
  3. Step 3: Cross multiply
    332.76x = 459.13 × 201.76
  4. Step 4: Simplify right side
    332.76x = 92,634.07
  5. Step 5: Solve for x
    x = 92,634.07/332.76
  6. Step 6: Final answer
    x = 278.38

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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.