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Finding the Fourth Proportional to 361.86, 542.82 and 179.10

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Solution

The fourth proportional to 361.86, 542.82 and 179.10 is: 268.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.86 : 542.82 = 179.10 : x
  2. Step 2: Convert to fraction form
    361.86/542.82 = 179.10/x
  3. Step 3: Cross multiply
    361.86x = 542.82 × 179.10
  4. Step 4: Simplify right side
    361.86x = 97,219.06
  5. Step 5: Solve for x
    x = 97,219.06/361.86
  6. Step 6: Final answer
    x = 268.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.