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Finding the Fourth Proportional to 257.22, 385.83 and 64.83

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Solution

The fourth proportional to 257.22, 385.83 and 64.83 is: 97.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.22 : 385.83 = 64.83 : x
  2. Step 2: Convert to fraction form
    257.22/385.83 = 64.83/x
  3. Step 3: Cross multiply
    257.22x = 385.83 × 64.83
  4. Step 4: Simplify right side
    257.22x = 25,013.36
  5. Step 5: Solve for x
    x = 25,013.36/257.22
  6. Step 6: Final answer
    x = 97.25

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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.