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Finding the Fourth Proportional to 332.63, 459.05 and 192.75

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Solution

The fourth proportional to 332.63, 459.05 and 192.75 is: 266.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.63 : 459.05 = 192.75 : x
  2. Step 2: Convert to fraction form
    332.63/459.05 = 192.75/x
  3. Step 3: Cross multiply
    332.63x = 459.05 × 192.75
  4. Step 4: Simplify right side
    332.63x = 88,481.89
  5. Step 5: Solve for x
    x = 88,481.89/332.63
  6. Step 6: Final answer
    x = 266.01

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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.