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Finding the Fourth Proportional to 192.42, 288.98 and 176.35

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Solution

The fourth proportional to 192.42, 288.98 and 176.35 is: 264.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.42 : 288.98 = 176.35 : x
  2. Step 2: Convert to fraction form
    192.42/288.98 = 176.35/x
  3. Step 3: Cross multiply
    192.42x = 288.98 × 176.35
  4. Step 4: Simplify right side
    192.42x = 50,961.62
  5. Step 5: Solve for x
    x = 50,961.62/192.42
  6. Step 6: Final answer
    x = 264.85

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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.