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Finding the Fourth Proportional to 392.00, 587.81 and 118.08

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Solution

The fourth proportional to 392.00, 587.81 and 118.08 is: 177.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.00 : 587.81 = 118.08 : x
  2. Step 2: Convert to fraction form
    392.00/587.81 = 118.08/x
  3. Step 3: Cross multiply
    392.00x = 587.81 × 118.08
  4. Step 4: Simplify right side
    392.00x = 69,408.01
  5. Step 5: Solve for x
    x = 69,408.01/392.00
  6. Step 6: Final answer
    x = 177.06

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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.