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Finding the Fourth Proportional to 257.07, 385.16 and 135.07

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Solution

The fourth proportional to 257.07, 385.16 and 135.07 is: 202.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.07 : 385.16 = 135.07 : x
  2. Step 2: Convert to fraction form
    257.07/385.16 = 135.07/x
  3. Step 3: Cross multiply
    257.07x = 385.16 × 135.07
  4. Step 4: Simplify right side
    257.07x = 52,021.92
  5. Step 5: Solve for x
    x = 52,021.92/257.07
  6. Step 6: Final answer
    x = 202.36

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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.