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Finding the Fourth Proportional to 192.30, 265.32 and 114.69

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Solution

The fourth proportional to 192.30, 265.32 and 114.69 is: 158.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.30 : 265.32 = 114.69 : x
  2. Step 2: Convert to fraction form
    192.30/265.32 = 114.69/x
  3. Step 3: Cross multiply
    192.30x = 265.32 × 114.69
  4. Step 4: Simplify right side
    192.30x = 30,429.55
  5. Step 5: Solve for x
    x = 30,429.55/192.30
  6. Step 6: Final answer
    x = 158.24

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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.