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Finding the Fourth Proportional to 252.64, 378.35 and 209.04

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Solution

The fourth proportional to 252.64, 378.35 and 209.04 is: 313.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.64 : 378.35 = 209.04 : x
  2. Step 2: Convert to fraction form
    252.64/378.35 = 209.04/x
  3. Step 3: Cross multiply
    252.64x = 378.35 × 209.04
  4. Step 4: Simplify right side
    252.64x = 79,090.28
  5. Step 5: Solve for x
    x = 79,090.28/252.64
  6. Step 6: Final answer
    x = 313.06

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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.