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Finding the Fourth Proportional to 277.17, 382.47 and 152.80

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Solution

The fourth proportional to 277.17, 382.47 and 152.80 is: 210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.17 : 382.47 = 152.80 : x
  2. Step 2: Convert to fraction form
    277.17/382.47 = 152.80/x
  3. Step 3: Cross multiply
    277.17x = 382.47 × 152.80
  4. Step 4: Simplify right side
    277.17x = 58,442.18
  5. Step 5: Solve for x
    x = 58,442.18/277.17
  6. Step 6: Final answer
    x = 210.85

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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.