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Finding the Fourth Proportional to 277.72, 416.62 and 123.64

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Solution

The fourth proportional to 277.72, 416.62 and 123.64 is: 185.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.72 : 416.62 = 123.64 : x
  2. Step 2: Convert to fraction form
    277.72/416.62 = 123.64/x
  3. Step 3: Cross multiply
    277.72x = 416.62 × 123.64
  4. Step 4: Simplify right side
    277.72x = 51,510.90
  5. Step 5: Solve for x
    x = 51,510.90/277.72
  6. Step 6: Final answer
    x = 185.48

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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.