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Finding the Fourth Proportional to 332.85, 459.33 and 193.00

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Solution

The fourth proportional to 332.85, 459.33 and 193.00 is: 266.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.85 : 459.33 = 193.00 : x
  2. Step 2: Convert to fraction form
    332.85/459.33 = 193.00/x
  3. Step 3: Cross multiply
    332.85x = 459.33 × 193.00
  4. Step 4: Simplify right side
    332.85x = 88,648.88
  5. Step 5: Solve for x
    x = 88,648.88/332.85
  6. Step 6: Final answer
    x = 266.33

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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.