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Finding the Fourth Proportional to 644.09, 966.16 and 157.14

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Solution

The fourth proportional to 644.09, 966.16 and 157.14 is: 235.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.09 : 966.16 = 157.14 : x
  2. Step 2: Convert to fraction form
    644.09/966.16 = 157.14/x
  3. Step 3: Cross multiply
    644.09x = 966.16 × 157.14
  4. Step 4: Simplify right side
    644.09x = 151,822.58
  5. Step 5: Solve for x
    x = 151,822.58/644.09
  6. Step 6: Final answer
    x = 235.72

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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.