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Finding the Fourth Proportional to 274.24, 411.45 and 128.07

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Solution

The fourth proportional to 274.24, 411.45 and 128.07 is: 192.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.24 : 411.45 = 128.07 : x
  2. Step 2: Convert to fraction form
    274.24/411.45 = 128.07/x
  3. Step 3: Cross multiply
    274.24x = 411.45 × 128.07
  4. Step 4: Simplify right side
    274.24x = 52,693.85
  5. Step 5: Solve for x
    x = 52,693.85/274.24
  6. Step 6: Final answer
    x = 192.15

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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.