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Finding the Fourth Proportional to 333.14, 459.74 and 202.24

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Solution

The fourth proportional to 333.14, 459.74 and 202.24 is: 279.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.14 : 459.74 = 202.24 : x
  2. Step 2: Convert to fraction form
    333.14/459.74 = 202.24/x
  3. Step 3: Cross multiply
    333.14x = 459.74 × 202.24
  4. Step 4: Simplify right side
    333.14x = 92,977.82
  5. Step 5: Solve for x
    x = 92,977.82/333.14
  6. Step 6: Final answer
    x = 279.10

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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.