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Finding the Fourth Proportional to 257.52, 355.08 and 207.84

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Solution

The fourth proportional to 257.52, 355.08 and 207.84 is: 286.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.52 : 355.08 = 207.84 : x
  2. Step 2: Convert to fraction form
    257.52/355.08 = 207.84/x
  3. Step 3: Cross multiply
    257.52x = 355.08 × 207.84
  4. Step 4: Simplify right side
    257.52x = 73,799.83
  5. Step 5: Solve for x
    x = 73,799.83/257.52
  6. Step 6: Final answer
    x = 286.58

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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.