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Finding the Fourth Proportional to 333.92, 460.78 and 202.92

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Solution

The fourth proportional to 333.92, 460.78 and 202.92 is: 280.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.92 : 460.78 = 202.92 : x
  2. Step 2: Convert to fraction form
    333.92/460.78 = 202.92/x
  3. Step 3: Cross multiply
    333.92x = 460.78 × 202.92
  4. Step 4: Simplify right side
    333.92x = 93,501.48
  5. Step 5: Solve for x
    x = 93,501.48/333.92
  6. Step 6: Final answer
    x = 280.01

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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.