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Finding the Fourth Proportional to 277.17, 414.69 and 238.11

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Solution

The fourth proportional to 277.17, 414.69 and 238.11 is: 356.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.17 : 414.69 = 238.11 : x
  2. Step 2: Convert to fraction form
    277.17/414.69 = 238.11/x
  3. Step 3: Cross multiply
    277.17x = 414.69 × 238.11
  4. Step 4: Simplify right side
    277.17x = 98,741.84
  5. Step 5: Solve for x
    x = 98,741.84/277.17
  6. Step 6: Final answer
    x = 356.25

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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.