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Finding the Fourth Proportional to 277.80, 383.13 and 208.02

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Solution

The fourth proportional to 277.80, 383.13 and 208.02 is: 286.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.80 : 383.13 = 208.02 : x
  2. Step 2: Convert to fraction form
    277.80/383.13 = 208.02/x
  3. Step 3: Cross multiply
    277.80x = 383.13 × 208.02
  4. Step 4: Simplify right side
    277.80x = 79,698.18
  5. Step 5: Solve for x
    x = 79,698.18/277.80
  6. Step 6: Final answer
    x = 286.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.