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Finding the Fourth Proportional to 336.02, 463.74 and 205.06

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Solution

The fourth proportional to 336.02, 463.74 and 205.06 is: 282.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.02 : 463.74 = 205.06 : x
  2. Step 2: Convert to fraction form
    336.02/463.74 = 205.06/x
  3. Step 3: Cross multiply
    336.02x = 463.74 × 205.06
  4. Step 4: Simplify right side
    336.02x = 95,092.45
  5. Step 5: Solve for x
    x = 95,092.45/336.02
  6. Step 6: Final answer
    x = 282.99

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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.