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Finding the Fourth Proportional to 192.31, 265.40 and 130.03

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Solution

The fourth proportional to 192.31, 265.40 and 130.03 is: 179.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.31 : 265.40 = 130.03 : x
  2. Step 2: Convert to fraction form
    192.31/265.40 = 130.03/x
  3. Step 3: Cross multiply
    192.31x = 265.40 × 130.03
  4. Step 4: Simplify right side
    192.31x = 34,509.96
  5. Step 5: Solve for x
    x = 34,509.96/192.31
  6. Step 6: Final answer
    x = 179.45

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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.