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Finding the Fourth Proportional to 253.40, 349.38 and 164.74

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Solution

The fourth proportional to 253.40, 349.38 and 164.74 is: 227.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.40 : 349.38 = 164.74 : x
  2. Step 2: Convert to fraction form
    253.40/349.38 = 164.74/x
  3. Step 3: Cross multiply
    253.40x = 349.38 × 164.74
  4. Step 4: Simplify right side
    253.40x = 57,556.86
  5. Step 5: Solve for x
    x = 57,556.86/253.40
  6. Step 6: Final answer
    x = 227.14

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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.