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Finding the Fourth Proportional to 277.35, 416.23 and 133.17

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Solution

The fourth proportional to 277.35, 416.23 and 133.17 is: 199.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.35 : 416.23 = 133.17 : x
  2. Step 2: Convert to fraction form
    277.35/416.23 = 133.17/x
  3. Step 3: Cross multiply
    277.35x = 416.23 × 133.17
  4. Step 4: Simplify right side
    277.35x = 55,429.35
  5. Step 5: Solve for x
    x = 55,429.35/277.35
  6. Step 6: Final answer
    x = 199.85

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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.