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Finding the Fourth Proportional to 252.84, 378.32 and 171.40

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Solution

The fourth proportional to 252.84, 378.32 and 171.40 is: 256.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.84 : 378.32 = 171.40 : x
  2. Step 2: Convert to fraction form
    252.84/378.32 = 171.40/x
  3. Step 3: Cross multiply
    252.84x = 378.32 × 171.40
  4. Step 4: Simplify right side
    252.84x = 64,844.05
  5. Step 5: Solve for x
    x = 64,844.05/252.84
  6. Step 6: Final answer
    x = 256.46

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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.