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Finding the Fourth Proportional to 274.34, 411.73 and 152.84

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Solution

The fourth proportional to 274.34, 411.73 and 152.84 is: 229.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.34 : 411.73 = 152.84 : x
  2. Step 2: Convert to fraction form
    274.34/411.73 = 152.84/x
  3. Step 3: Cross multiply
    274.34x = 411.73 × 152.84
  4. Step 4: Simplify right side
    274.34x = 62,929.46
  5. Step 5: Solve for x
    x = 62,929.46/274.34
  6. Step 6: Final answer
    x = 229.38

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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.