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Finding the Fourth Proportional to 361.54, 542.85 and 207.64

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Solution

The fourth proportional to 361.54, 542.85 and 207.64 is: 311.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.54 : 542.85 = 207.64 : x
  2. Step 2: Convert to fraction form
    361.54/542.85 = 207.64/x
  3. Step 3: Cross multiply
    361.54x = 542.85 × 207.64
  4. Step 4: Simplify right side
    361.54x = 112,717.37
  5. Step 5: Solve for x
    x = 112,717.37/361.54
  6. Step 6: Final answer
    x = 311.77

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