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Finding the Fourth Proportional to 252.96, 374.28 and 252.24

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Solution

The fourth proportional to 252.96, 374.28 and 252.24 is: 373.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.96 : 374.28 = 252.24 : x
  2. Step 2: Convert to fraction form
    252.96/374.28 = 252.24/x
  3. Step 3: Cross multiply
    252.96x = 374.28 × 252.24
  4. Step 4: Simplify right side
    252.96x = 94,408.39
  5. Step 5: Solve for x
    x = 94,408.39/252.96
  6. Step 6: Final answer
    x = 373.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.