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Finding the Fourth Proportional to 277.12, 415.68 and 106

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Solution

The fourth proportional to 277.12, 415.68 and 106 is: 159

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.12 : 415.68 = 106 : x
  2. Step 2: Convert to fraction form
    277.12/415.68 = 106/x
  3. Step 3: Cross multiply
    277.12x = 415.68 × 106
  4. Step 4: Simplify right side
    277.12x = 44,062.08
  5. Step 5: Solve for x
    x = 44,062.08/277.12
  6. Step 6: Final answer
    x = 159

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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.