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Finding the Fourth Proportional to 277.07, 415.66 and 82.08

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Solution

The fourth proportional to 277.07, 415.66 and 82.08 is: 123.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.07 : 415.66 = 82.08 : x
  2. Step 2: Convert to fraction form
    277.07/415.66 = 82.08/x
  3. Step 3: Cross multiply
    277.07x = 415.66 × 82.08
  4. Step 4: Simplify right side
    277.07x = 34,115.29
  5. Step 5: Solve for x
    x = 34,115.29/277.07
  6. Step 6: Final answer
    x = 123.13

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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.