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Finding the Fourth Proportional to 392.66, 588.71 and 148.98

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Solution

The fourth proportional to 392.66, 588.71 and 148.98 is: 223.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.66 : 588.71 = 148.98 : x
  2. Step 2: Convert to fraction form
    392.66/588.71 = 148.98/x
  3. Step 3: Cross multiply
    392.66x = 588.71 × 148.98
  4. Step 4: Simplify right side
    392.66x = 87,706.02
  5. Step 5: Solve for x
    x = 87,706.02/392.66
  6. Step 6: Final answer
    x = 223.36

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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.