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Finding the Fourth Proportional to 192.60, 264.96 and 187.20

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Solution

The fourth proportional to 192.60, 264.96 and 187.20 is: 257.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.60 : 264.96 = 187.20 : x
  2. Step 2: Convert to fraction form
    192.60/264.96 = 187.20/x
  3. Step 3: Cross multiply
    192.60x = 264.96 × 187.20
  4. Step 4: Simplify right side
    192.60x = 49,600.51
  5. Step 5: Solve for x
    x = 49,600.51/192.60
  6. Step 6: Final answer
    x = 257.53

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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.