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Finding the Fourth Proportional to 213.53, 319.77 and 175.11

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Solution

The fourth proportional to 213.53, 319.77 and 175.11 is: 262.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.53 : 319.77 = 175.11 : x
  2. Step 2: Convert to fraction form
    213.53/319.77 = 175.11/x
  3. Step 3: Cross multiply
    213.53x = 319.77 × 175.11
  4. Step 4: Simplify right side
    213.53x = 55,994.92
  5. Step 5: Solve for x
    x = 55,994.92/213.53
  6. Step 6: Final answer
    x = 262.23

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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.