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Finding the Fourth Proportional to 361.74, 542.31 and 176.34

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Solution

The fourth proportional to 361.74, 542.31 and 176.34 is: 264.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.74 : 542.31 = 176.34 : x
  2. Step 2: Convert to fraction form
    361.74/542.31 = 176.34/x
  3. Step 3: Cross multiply
    361.74x = 542.31 × 176.34
  4. Step 4: Simplify right side
    361.74x = 95,630.95
  5. Step 5: Solve for x
    x = 95,630.95/361.74
  6. Step 6: Final answer
    x = 264.36

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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.