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Finding the Fourth Proportional to 318.77, 440.00 and 187.82

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Solution

The fourth proportional to 318.77, 440.00 and 187.82 is: 259.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.77 : 440.00 = 187.82 : x
  2. Step 2: Convert to fraction form
    318.77/440.00 = 187.82/x
  3. Step 3: Cross multiply
    318.77x = 440.00 × 187.82
  4. Step 4: Simplify right side
    318.77x = 82,637.66
  5. Step 5: Solve for x
    x = 82,637.66/318.77
  6. Step 6: Final answer
    x = 259.24

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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.