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Finding the Fourth Proportional to 257.16, 385.91 and 135.46

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Solution

The fourth proportional to 257.16, 385.91 and 135.46 is: 203.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.16 : 385.91 = 135.46 : x
  2. Step 2: Convert to fraction form
    257.16/385.91 = 135.46/x
  3. Step 3: Cross multiply
    257.16x = 385.91 × 135.46
  4. Step 4: Simplify right side
    257.16x = 52,275.37
  5. Step 5: Solve for x
    x = 52,275.37/257.16
  6. Step 6: Final answer
    x = 203.28

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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.