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Finding the Fourth Proportional to 277.32, 415.37 and 140.13

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Solution

The fourth proportional to 277.32, 415.37 and 140.13 is: 209.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.32 : 415.37 = 140.13 : x
  2. Step 2: Convert to fraction form
    277.32/415.37 = 140.13/x
  3. Step 3: Cross multiply
    277.32x = 415.37 × 140.13
  4. Step 4: Simplify right side
    277.32x = 58,206.15
  5. Step 5: Solve for x
    x = 58,206.15/277.32
  6. Step 6: Final answer
    x = 209.89

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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.