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Finding the Fourth Proportional to 277.65, 415.70 and 222.52

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Solution

The fourth proportional to 277.65, 415.70 and 222.52 is: 333.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.65 : 415.70 = 222.52 : x
  2. Step 2: Convert to fraction form
    277.65/415.70 = 222.52/x
  3. Step 3: Cross multiply
    277.65x = 415.70 × 222.52
  4. Step 4: Simplify right side
    277.65x = 92,501.56
  5. Step 5: Solve for x
    x = 92,501.56/277.65
  6. Step 6: Final answer
    x = 333.16

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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.