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Finding the Fourth Proportional to 252.03, 378.24 and 175.53

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Solution

The fourth proportional to 252.03, 378.24 and 175.53 is: 263.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.03 : 378.24 = 175.53 : x
  2. Step 2: Convert to fraction form
    252.03/378.24 = 175.53/x
  3. Step 3: Cross multiply
    252.03x = 378.24 × 175.53
  4. Step 4: Simplify right side
    252.03x = 66,392.47
  5. Step 5: Solve for x
    x = 66,392.47/252.03
  6. Step 6: Final answer
    x = 263.43

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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.