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Finding the Fourth Proportional to 361.13, 498.35 and 205.88

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Solution

The fourth proportional to 361.13, 498.35 and 205.88 is: 284.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.13 : 498.35 = 205.88 : x
  2. Step 2: Convert to fraction form
    361.13/498.35 = 205.88/x
  3. Step 3: Cross multiply
    361.13x = 498.35 × 205.88
  4. Step 4: Simplify right side
    361.13x = 102,598.32
  5. Step 5: Solve for x
    x = 102,598.32/361.13
  6. Step 6: Final answer
    x = 284.11

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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.