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Finding the Fourth Proportional to 192.13, 265.01 and 147.98

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Solution

The fourth proportional to 192.13, 265.01 and 147.98 is: 204.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.13 : 265.01 = 147.98 : x
  2. Step 2: Convert to fraction form
    192.13/265.01 = 147.98/x
  3. Step 3: Cross multiply
    192.13x = 265.01 × 147.98
  4. Step 4: Simplify right side
    192.13x = 39,216.10
  5. Step 5: Solve for x
    x = 39,216.10/192.13
  6. Step 6: Final answer
    x = 204.11

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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.