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Finding the Fourth Proportional to 192.64, 289.32 and 176.56

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Solution

The fourth proportional to 192.64, 289.32 and 176.56 is: 265.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.64 : 289.32 = 176.56 : x
  2. Step 2: Convert to fraction form
    192.64/289.32 = 176.56/x
  3. Step 3: Cross multiply
    192.64x = 289.32 × 176.56
  4. Step 4: Simplify right side
    192.64x = 51,082.34
  5. Step 5: Solve for x
    x = 51,082.34/192.64
  6. Step 6: Final answer
    x = 265.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.