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Finding the Fourth Proportional to 318.35, 477.35 and 179.46

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Solution

The fourth proportional to 318.35, 477.35 and 179.46 is: 269.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.35 : 477.35 = 179.46 : x
  2. Step 2: Convert to fraction form
    318.35/477.35 = 179.46/x
  3. Step 3: Cross multiply
    318.35x = 477.35 × 179.46
  4. Step 4: Simplify right side
    318.35x = 85,666.12
  5. Step 5: Solve for x
    x = 85,666.12/318.35
  6. Step 6: Final answer
    x = 269.10

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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.