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Finding the Fourth Proportional to 361.85, 542.27 and 176.67

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Solution

The fourth proportional to 361.85, 542.27 and 176.67 is: 264.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.85 : 542.27 = 176.67 : x
  2. Step 2: Convert to fraction form
    361.85/542.27 = 176.67/x
  3. Step 3: Cross multiply
    361.85x = 542.27 × 176.67
  4. Step 4: Simplify right side
    361.85x = 95,803.28
  5. Step 5: Solve for x
    x = 95,803.28/361.85
  6. Step 6: Final answer
    x = 264.76

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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.