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Finding the Fourth Proportional to 277.34, 416.11 and 123.25

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Solution

The fourth proportional to 277.34, 416.11 and 123.25 is: 184.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.34 : 416.11 = 123.25 : x
  2. Step 2: Convert to fraction form
    277.34/416.11 = 123.25/x
  3. Step 3: Cross multiply
    277.34x = 416.11 × 123.25
  4. Step 4: Simplify right side
    277.34x = 51,286.29
  5. Step 5: Solve for x
    x = 51,286.29/277.34
  6. Step 6: Final answer
    x = 184.92

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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.