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Finding the Fourth Proportional to 274.46, 411.76 and 152.81

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Solution

The fourth proportional to 274.46, 411.76 and 152.81 is: 229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.46 : 411.76 = 152.81 : x
  2. Step 2: Convert to fraction form
    274.46/411.76 = 152.81/x
  3. Step 3: Cross multiply
    274.46x = 411.76 × 152.81
  4. Step 4: Simplify right side
    274.46x = 62,918.99
  5. Step 5: Solve for x
    x = 62,918.99/274.46
  6. Step 6: Final answer
    x = 229.25

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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.