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Finding the Fourth Proportional to 213.08, 317.92 and 177.08

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Solution

The fourth proportional to 213.08, 317.92 and 177.08 is: 264.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.08 : 317.92 = 177.08 : x
  2. Step 2: Convert to fraction form
    213.08/317.92 = 177.08/x
  3. Step 3: Cross multiply
    213.08x = 317.92 × 177.08
  4. Step 4: Simplify right side
    213.08x = 56,297.27
  5. Step 5: Solve for x
    x = 56,297.27/213.08
  6. Step 6: Final answer
    x = 264.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.