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Finding the Fourth Proportional to 392, 588.01 and 148.64

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Solution

The fourth proportional to 392, 588.01 and 148.64 is: 222.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    392 : 588.01 = 148.64 : x
  2. Step 2: Convert to fraction form
    392/588.01 = 148.64/x
  3. Step 3: Cross multiply
    392x = 588.01 × 148.64
  4. Step 4: Simplify right side
    392x = 87,401.81
  5. Step 5: Solve for x
    x = 87,401.81/392
  6. Step 6: Final answer
    x = 222.96

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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.