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Finding the Fourth Proportional to 396.14, 594.16 and 176.77

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Solution

The fourth proportional to 396.14, 594.16 and 176.77 is: 265.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.14 : 594.16 = 176.77 : x
  2. Step 2: Convert to fraction form
    396.14/594.16 = 176.77/x
  3. Step 3: Cross multiply
    396.14x = 594.16 × 176.77
  4. Step 4: Simplify right side
    396.14x = 105,029.66
  5. Step 5: Solve for x
    x = 105,029.66/396.14
  6. Step 6: Final answer
    x = 265.13

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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.