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Finding the Fourth Proportional to 333.02, 459.59 and 193.14

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Solution

The fourth proportional to 333.02, 459.59 and 193.14 is: 266.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.02 : 459.59 = 193.14 : x
  2. Step 2: Convert to fraction form
    333.02/459.59 = 193.14/x
  3. Step 3: Cross multiply
    333.02x = 459.59 × 193.14
  4. Step 4: Simplify right side
    333.02x = 88,764.25
  5. Step 5: Solve for x
    x = 88,764.25/333.02
  6. Step 6: Final answer
    x = 266.55

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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.