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Finding the Fourth Proportional to 568.44, 852.65 and 157.60

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Solution

The fourth proportional to 568.44, 852.65 and 157.60 is: 236.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.44 : 852.65 = 157.60 : x
  2. Step 2: Convert to fraction form
    568.44/852.65 = 157.60/x
  3. Step 3: Cross multiply
    568.44x = 852.65 × 157.60
  4. Step 4: Simplify right side
    568.44x = 134,377.64
  5. Step 5: Solve for x
    x = 134,377.64/568.44
  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.