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Finding the Fourth Proportional to 392.36, 588.40 and 118.36

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Solution

The fourth proportional to 392.36, 588.40 and 118.36 is: 177.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.36 : 588.40 = 118.36 : x
  2. Step 2: Convert to fraction form
    392.36/588.40 = 118.36/x
  3. Step 3: Cross multiply
    392.36x = 588.40 × 118.36
  4. Step 4: Simplify right side
    392.36x = 69,643.02
  5. Step 5: Solve for x
    x = 69,643.02/392.36
  6. Step 6: Final answer
    x = 177.50

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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.