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Finding the Fourth Proportional to 277.04, 415.58 and 82.06

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Solution

The fourth proportional to 277.04, 415.58 and 82.06 is: 123.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.04 : 415.58 = 82.06 : x
  2. Step 2: Convert to fraction form
    277.04/415.58 = 82.06/x
  3. Step 3: Cross multiply
    277.04x = 415.58 × 82.06
  4. Step 4: Simplify right side
    277.04x = 34,102.49
  5. Step 5: Solve for x
    x = 34,102.49/277.04
  6. Step 6: Final answer
    x = 123.10

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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.