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Finding the Fourth Proportional to 361.30, 542.01 and 117.77

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Solution

The fourth proportional to 361.30, 542.01 and 117.77 is: 176.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.30 : 542.01 = 117.77 : x
  2. Step 2: Convert to fraction form
    361.30/542.01 = 117.77/x
  3. Step 3: Cross multiply
    361.30x = 542.01 × 117.77
  4. Step 4: Simplify right side
    361.30x = 63,833.20
  5. Step 5: Solve for x
    x = 63,833.20/361.30
  6. Step 6: Final answer
    x = 176.68

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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.