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Finding the Fourth Proportional to 257.51, 385.65 and 135.41

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Solution

The fourth proportional to 257.51, 385.65 and 135.41 is: 202.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.51 : 385.65 = 135.41 : x
  2. Step 2: Convert to fraction form
    257.51/385.65 = 135.41/x
  3. Step 3: Cross multiply
    257.51x = 385.65 × 135.41
  4. Step 4: Simplify right side
    257.51x = 52,218.94
  5. Step 5: Solve for x
    x = 52,218.94/257.51
  6. Step 6: Final answer
    x = 202.79

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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.