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Finding the Fourth Proportional to 262.57, 362.31 and 157.64

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Solution

The fourth proportional to 262.57, 362.31 and 157.64 is: 217.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.57 : 362.31 = 157.64 : x
  2. Step 2: Convert to fraction form
    262.57/362.31 = 157.64/x
  3. Step 3: Cross multiply
    262.57x = 362.31 × 157.64
  4. Step 4: Simplify right side
    262.57x = 57,113.95
  5. Step 5: Solve for x
    x = 57,113.95/262.57
  6. Step 6: Final answer
    x = 217.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.