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Finding the Fourth Proportional to 277.14, 382.46 and 152.80

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Solution

The fourth proportional to 277.14, 382.46 and 152.80 is: 210.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.14 : 382.46 = 152.80 : x
  2. Step 2: Convert to fraction form
    277.14/382.46 = 152.80/x
  3. Step 3: Cross multiply
    277.14x = 382.46 × 152.80
  4. Step 4: Simplify right side
    277.14x = 58,439.89
  5. Step 5: Solve for x
    x = 58,439.89/277.14
  6. Step 6: Final answer
    x = 210.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.