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Finding the Fourth Proportional to 253.44, 349.36 and 179.52

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Solution

The fourth proportional to 253.44, 349.36 and 179.52 is: 247.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.44 : 349.36 = 179.52 : x
  2. Step 2: Convert to fraction form
    253.44/349.36 = 179.52/x
  3. Step 3: Cross multiply
    253.44x = 349.36 × 179.52
  4. Step 4: Simplify right side
    253.44x = 62,717.11
  5. Step 5: Solve for x
    x = 62,717.11/253.44
  6. Step 6: Final answer
    x = 247.46

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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.