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Finding the Fourth Proportional to 393.54, 590.34 and 150.06

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Solution

The fourth proportional to 393.54, 590.34 and 150.06 is: 225.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.54 : 590.34 = 150.06 : x
  2. Step 2: Convert to fraction form
    393.54/590.34 = 150.06/x
  3. Step 3: Cross multiply
    393.54x = 590.34 × 150.06
  4. Step 4: Simplify right side
    393.54x = 88,586.42
  5. Step 5: Solve for x
    x = 88,586.42/393.54
  6. Step 6: Final answer
    x = 225.10

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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.