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Finding the Fourth Proportional to 568.56, 852.82 and 157.72

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Solution

The fourth proportional to 568.56, 852.82 and 157.72 is: 236.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.56 : 852.82 = 157.72 : x
  2. Step 2: Convert to fraction form
    568.56/852.82 = 157.72/x
  3. Step 3: Cross multiply
    568.56x = 852.82 × 157.72
  4. Step 4: Simplify right side
    568.56x = 134,506.77
  5. Step 5: Solve for x
    x = 134,506.77/568.56
  6. Step 6: Final answer
    x = 236.57

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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.