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Finding the Fourth Proportional to 192.46, 265.70 and 130.39

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Solution

The fourth proportional to 192.46, 265.70 and 130.39 is: 180.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.46 : 265.70 = 130.39 : x
  2. Step 2: Convert to fraction form
    192.46/265.70 = 130.39/x
  3. Step 3: Cross multiply
    192.46x = 265.70 × 130.39
  4. Step 4: Simplify right side
    192.46x = 34,644.62
  5. Step 5: Solve for x
    x = 34,644.62/192.46
  6. Step 6: Final answer
    x = 180.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.