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Finding the Fourth Proportional to 250.20, 345.30 and 152.04

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Solution

The fourth proportional to 250.20, 345.30 and 152.04 is: 209.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.20 : 345.30 = 152.04 : x
  2. Step 2: Convert to fraction form
    250.20/345.30 = 152.04/x
  3. Step 3: Cross multiply
    250.20x = 345.30 × 152.04
  4. Step 4: Simplify right side
    250.20x = 52,499.41
  5. Step 5: Solve for x
    x = 52,499.41/250.20
  6. Step 6: Final answer
    x = 209.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.