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Finding the Fourth Proportional to 332.93, 459.19 and 201.77

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Solution

The fourth proportional to 332.93, 459.19 and 201.77 is: 278.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.93 : 459.19 = 201.77 : x
  2. Step 2: Convert to fraction form
    332.93/459.19 = 201.77/x
  3. Step 3: Cross multiply
    332.93x = 459.19 × 201.77
  4. Step 4: Simplify right side
    332.93x = 92,650.77
  5. Step 5: Solve for x
    x = 92,650.77/332.93
  6. Step 6: Final answer
    x = 278.29

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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.