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Finding the Fourth Proportional to 257.46, 386.54 and 142.32

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Solution

The fourth proportional to 257.46, 386.54 and 142.32 is: 213.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.46 : 386.54 = 142.32 : x
  2. Step 2: Convert to fraction form
    257.46/386.54 = 142.32/x
  3. Step 3: Cross multiply
    257.46x = 386.54 × 142.32
  4. Step 4: Simplify right side
    257.46x = 55,012.37
  5. Step 5: Solve for x
    x = 55,012.37/257.46
  6. Step 6: Final answer
    x = 213.67

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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.