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Finding the Fourth Proportional to 426.85, 640.05 and 152.90

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Solution

The fourth proportional to 426.85, 640.05 and 152.90 is: 229.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.85 : 640.05 = 152.90 : x
  2. Step 2: Convert to fraction form
    426.85/640.05 = 152.90/x
  3. Step 3: Cross multiply
    426.85x = 640.05 × 152.90
  4. Step 4: Simplify right side
    426.85x = 97,863.65
  5. Step 5: Solve for x
    x = 97,863.65/426.85
  6. Step 6: Final answer
    x = 229.27

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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.