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Finding the Fourth Proportional to 207.57, 311.55 and 130.67

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Solution

The fourth proportional to 207.57, 311.55 and 130.67 is: 196.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.57 : 311.55 = 130.67 : x
  2. Step 2: Convert to fraction form
    207.57/311.55 = 130.67/x
  3. Step 3: Cross multiply
    207.57x = 311.55 × 130.67
  4. Step 4: Simplify right side
    207.57x = 40,710.24
  5. Step 5: Solve for x
    x = 40,710.24/207.57
  6. Step 6: Final answer
    x = 196.13

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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.