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Finding the Fourth Proportional to 192.19, 265.04 and 148.03

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Solution

The fourth proportional to 192.19, 265.04 and 148.03 is: 204.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.19 : 265.04 = 148.03 : x
  2. Step 2: Convert to fraction form
    192.19/265.04 = 148.03/x
  3. Step 3: Cross multiply
    192.19x = 265.04 × 148.03
  4. Step 4: Simplify right side
    192.19x = 39,233.02
  5. Step 5: Solve for x
    x = 39,233.02/192.19
  6. Step 6: Final answer
    x = 204.14

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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.