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Finding the Fourth Proportional to 277.23, 416.01 and 123.17

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Solution

The fourth proportional to 277.23, 416.01 and 123.17 is: 184.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.23 : 416.01 = 123.17 : x
  2. Step 2: Convert to fraction form
    277.23/416.01 = 123.17/x
  3. Step 3: Cross multiply
    277.23x = 416.01 × 123.17
  4. Step 4: Simplify right side
    277.23x = 51,239.95
  5. Step 5: Solve for x
    x = 51,239.95/277.23
  6. Step 6: Final answer
    x = 184.83

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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.