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Finding the Fourth Proportional to 644.55, 966.82 and 157.60

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Solution

The fourth proportional to 644.55, 966.82 and 157.60 is: 236.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.55 : 966.82 = 157.60 : x
  2. Step 2: Convert to fraction form
    644.55/966.82 = 157.60/x
  3. Step 3: Cross multiply
    644.55x = 966.82 × 157.60
  4. Step 4: Simplify right side
    644.55x = 152,368.61
  5. Step 5: Solve for x
    x = 152,368.61/644.55
  6. Step 6: Final answer
    x = 236.40

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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.