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Finding the Fourth Proportional to 262.25, 361.88 and 157.34

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Solution

The fourth proportional to 262.25, 361.88 and 157.34 is: 217.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.25 : 361.88 = 157.34 : x
  2. Step 2: Convert to fraction form
    262.25/361.88 = 157.34/x
  3. Step 3: Cross multiply
    262.25x = 361.88 × 157.34
  4. Step 4: Simplify right side
    262.25x = 56,939.50
  5. Step 5: Solve for x
    x = 56,939.50/262.25
  6. Step 6: Final answer
    x = 217.12

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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.