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Finding the Fourth Proportional to 277.86, 416.79 and 133.50

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Solution

The fourth proportional to 277.86, 416.79 and 133.50 is: 200.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.86 : 416.79 = 133.50 : x
  2. Step 2: Convert to fraction form
    277.86/416.79 = 133.50/x
  3. Step 3: Cross multiply
    277.86x = 416.79 × 133.50
  4. Step 4: Simplify right side
    277.86x = 55,641.47
  5. Step 5: Solve for x
    x = 55,641.47/277.86
  6. Step 6: Final answer
    x = 200.25

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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.