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Finding the Fourth Proportional to 277.29, 415.80 and 123.17

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Solution

The fourth proportional to 277.29, 415.80 and 123.17 is: 184.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.29 : 415.80 = 123.17 : x
  2. Step 2: Convert to fraction form
    277.29/415.80 = 123.17/x
  3. Step 3: Cross multiply
    277.29x = 415.80 × 123.17
  4. Step 4: Simplify right side
    277.29x = 51,212.01
  5. Step 5: Solve for x
    x = 51,212.01/277.29
  6. Step 6: Final answer
    x = 184.69

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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.