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Finding the Fourth Proportional to 192.29, 265.30 and 117.59

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Solution

The fourth proportional to 192.29, 265.30 and 117.59 is: 162.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.29 : 265.30 = 117.59 : x
  2. Step 2: Convert to fraction form
    192.29/265.30 = 117.59/x
  3. Step 3: Cross multiply
    192.29x = 265.30 × 117.59
  4. Step 4: Simplify right side
    192.29x = 31,197.00
  5. Step 5: Solve for x
    x = 31,197.00/192.29
  6. Step 6: Final answer
    x = 162.24

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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.