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Finding the Fourth Proportional to 392.10, 588.06 and 118.19

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Solution

The fourth proportional to 392.10, 588.06 and 118.19 is: 177.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.10 : 588.06 = 118.19 : x
  2. Step 2: Convert to fraction form
    392.10/588.06 = 118.19/x
  3. Step 3: Cross multiply
    392.10x = 588.06 × 118.19
  4. Step 4: Simplify right side
    392.10x = 69,502.81
  5. Step 5: Solve for x
    x = 69,502.81/392.10
  6. Step 6: Final answer
    x = 177.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.