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Finding the Fourth Proportional to 332.58, 459 and 201.66

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Solution

The fourth proportional to 332.58, 459 and 201.66 is: 278.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.58 : 459 = 201.66 : x
  2. Step 2: Convert to fraction form
    332.58/459 = 201.66/x
  3. Step 3: Cross multiply
    332.58x = 459 × 201.66
  4. Step 4: Simplify right side
    332.58x = 92,561.94
  5. Step 5: Solve for x
    x = 92,561.94/332.58
  6. Step 6: Final answer
    x = 278.31

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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.