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Finding the Fourth Proportional to 333.12, 459.71 and 193.24

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Solution

The fourth proportional to 333.12, 459.71 and 193.24 is: 266.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.12 : 459.71 = 193.24 : x
  2. Step 2: Convert to fraction form
    333.12/459.71 = 193.24/x
  3. Step 3: Cross multiply
    333.12x = 459.71 × 193.24
  4. Step 4: Simplify right side
    333.12x = 88,835.74
  5. Step 5: Solve for x
    x = 88,835.74/333.12
  6. Step 6: Final answer
    x = 266.68

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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.