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Finding the Fourth Proportional to 644.14, 966.18 and 157.18

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Solution

The fourth proportional to 644.14, 966.18 and 157.18 is: 235.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.14 : 966.18 = 157.18 : x
  2. Step 2: Convert to fraction form
    644.14/966.18 = 157.18/x
  3. Step 3: Cross multiply
    644.14x = 966.18 × 157.18
  4. Step 4: Simplify right side
    644.14x = 151,864.17
  5. Step 5: Solve for x
    x = 151,864.17/644.14
  6. Step 6: Final answer
    x = 235.76

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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.