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Finding the Fourth Proportional to 261.04, 391.37 and 130.94

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Solution

The fourth proportional to 261.04, 391.37 and 130.94 is: 196.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.04 : 391.37 = 130.94 : x
  2. Step 2: Convert to fraction form
    261.04/391.37 = 130.94/x
  3. Step 3: Cross multiply
    261.04x = 391.37 × 130.94
  4. Step 4: Simplify right side
    261.04x = 51,247.46
  5. Step 5: Solve for x
    x = 51,247.46/261.04
  6. Step 6: Final answer
    x = 196.32

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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.