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Finding the Fourth Proportional to 274.55, 411.63 and 128.30

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Solution

The fourth proportional to 274.55, 411.63 and 128.30 is: 192.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.55 : 411.63 = 128.30 : x
  2. Step 2: Convert to fraction form
    274.55/411.63 = 128.30/x
  3. Step 3: Cross multiply
    274.55x = 411.63 × 128.30
  4. Step 4: Simplify right side
    274.55x = 52,810.07
  5. Step 5: Solve for x
    x = 52,810.07/274.55
  6. Step 6: Final answer
    x = 192.35

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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.