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Finding the Fourth Proportional to 274.03, 411.05 and 153.06

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Solution

The fourth proportional to 274.03, 411.05 and 153.06 is: 229.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.03 : 411.05 = 153.06 : x
  2. Step 2: Convert to fraction form
    274.03/411.05 = 153.06/x
  3. Step 3: Cross multiply
    274.03x = 411.05 × 153.06
  4. Step 4: Simplify right side
    274.03x = 62,914.55
  5. Step 5: Solve for x
    x = 62,914.55/274.03
  6. Step 6: Final answer
    x = 229.59

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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.