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Finding the Fourth Proportional to 277.17, 382.49 and 152.83

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Solution

The fourth proportional to 277.17, 382.49 and 152.83 is: 210.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.17 : 382.49 = 152.83 : x
  2. Step 2: Convert to fraction form
    277.17/382.49 = 152.83/x
  3. Step 3: Cross multiply
    277.17x = 382.49 × 152.83
  4. Step 4: Simplify right side
    277.17x = 58,454.94
  5. Step 5: Solve for x
    x = 58,454.94/277.17
  6. Step 6: Final answer
    x = 210.90

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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.