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Finding the Fourth Proportional to 426.77, 640.18 and 138.23

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Solution

The fourth proportional to 426.77, 640.18 and 138.23 is: 207.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.77 : 640.18 = 138.23 : x
  2. Step 2: Convert to fraction form
    426.77/640.18 = 138.23/x
  3. Step 3: Cross multiply
    426.77x = 640.18 × 138.23
  4. Step 4: Simplify right side
    426.77x = 88,492.08
  5. Step 5: Solve for x
    x = 88,492.08/426.77
  6. Step 6: Final answer
    x = 207.35

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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.