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Finding the Fourth Proportional to 361.30, 498.59 and 195.51

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Solution

The fourth proportional to 361.30, 498.59 and 195.51 is: 269.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.30 : 498.59 = 195.51 : x
  2. Step 2: Convert to fraction form
    361.30/498.59 = 195.51/x
  3. Step 3: Cross multiply
    361.30x = 498.59 × 195.51
  4. Step 4: Simplify right side
    361.30x = 97,479.09
  5. Step 5: Solve for x
    x = 97,479.09/361.30
  6. Step 6: Final answer
    x = 269.80

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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.