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Finding the Fourth Proportional to 426.80, 640.21 and 152.91

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Solution

The fourth proportional to 426.80, 640.21 and 152.91 is: 229.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.80 : 640.21 = 152.91 : x
  2. Step 2: Convert to fraction form
    426.80/640.21 = 152.91/x
  3. Step 3: Cross multiply
    426.80x = 640.21 × 152.91
  4. Step 4: Simplify right side
    426.80x = 97,894.51
  5. Step 5: Solve for x
    x = 97,894.51/426.80
  6. Step 6: Final answer
    x = 229.37

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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.