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Finding the Fourth Proportional to 192.58, 265.83 and 118.90

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Solution

The fourth proportional to 192.58, 265.83 and 118.90 is: 164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.58 : 265.83 = 118.90 : x
  2. Step 2: Convert to fraction form
    192.58/265.83 = 118.90/x
  3. Step 3: Cross multiply
    192.58x = 265.83 × 118.90
  4. Step 4: Simplify right side
    192.58x = 31,607.19
  5. Step 5: Solve for x
    x = 31,607.19/192.58
  6. Step 6: Final answer
    x = 164.12

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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.