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Finding the Fourth Proportional to 192.16, 265.09 and 147.82

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Solution

The fourth proportional to 192.16, 265.09 and 147.82 is: 203.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.16 : 265.09 = 147.82 : x
  2. Step 2: Convert to fraction form
    192.16/265.09 = 147.82/x
  3. Step 3: Cross multiply
    192.16x = 265.09 × 147.82
  4. Step 4: Simplify right side
    192.16x = 39,184.57
  5. Step 5: Solve for x
    x = 39,184.57/192.16
  6. Step 6: Final answer
    x = 203.92

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