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Finding the Fourth Proportional to 522.96, 784.20 and 157.67

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Solution

The fourth proportional to 522.96, 784.20 and 157.67 is: 236.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.96 : 784.20 = 157.67 : x
  2. Step 2: Convert to fraction form
    522.96/784.20 = 157.67/x
  3. Step 3: Cross multiply
    522.96x = 784.20 × 157.67
  4. Step 4: Simplify right side
    522.96x = 123,644.81
  5. Step 5: Solve for x
    x = 123,644.81/522.96
  6. Step 6: Final answer
    x = 236.43

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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.