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Finding the Fourth Proportional to 277.50, 416.28 and 123.42

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Solution

The fourth proportional to 277.50, 416.28 and 123.42 is: 185.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.50 : 416.28 = 123.42 : x
  2. Step 2: Convert to fraction form
    277.50/416.28 = 123.42/x
  3. Step 3: Cross multiply
    277.50x = 416.28 × 123.42
  4. Step 4: Simplify right side
    277.50x = 51,377.28
  5. Step 5: Solve for x
    x = 51,377.28/277.50
  6. Step 6: Final answer
    x = 185.14

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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.