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Finding the Fourth Proportional to 253.21, 349.38 and 164.65

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Solution

The fourth proportional to 253.21, 349.38 and 164.65 is: 227.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.21 : 349.38 = 164.65 : x
  2. Step 2: Convert to fraction form
    253.21/349.38 = 164.65/x
  3. Step 3: Cross multiply
    253.21x = 349.38 × 164.65
  4. Step 4: Simplify right side
    253.21x = 57,525.42
  5. Step 5: Solve for x
    x = 57,525.42/253.21
  6. Step 6: Final answer
    x = 227.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.