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Finding the Fourth Proportional to 274.04, 411.02 and 100.70

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Solution

The fourth proportional to 274.04, 411.02 and 100.70 is: 151.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.04 : 411.02 = 100.70 : x
  2. Step 2: Convert to fraction form
    274.04/411.02 = 100.70/x
  3. Step 3: Cross multiply
    274.04x = 411.02 × 100.70
  4. Step 4: Simplify right side
    274.04x = 41,389.71
  5. Step 5: Solve for x
    x = 41,389.71/274.04
  6. Step 6: Final answer
    x = 151.04

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Why These Related Problems?

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