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Finding the Fourth Proportional to 361.64, 542.67 and 176.99

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Solution

The fourth proportional to 361.64, 542.67 and 176.99 is: 265.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.64 : 542.67 = 176.99 : x
  2. Step 2: Convert to fraction form
    361.64/542.67 = 176.99/x
  3. Step 3: Cross multiply
    361.64x = 542.67 × 176.99
  4. Step 4: Simplify right side
    361.64x = 96,044.45
  5. Step 5: Solve for x
    x = 96,044.45/361.64
  6. Step 6: Final answer
    x = 265.58

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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.