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Finding the Fourth Proportional to 426.52, 639.63 and 148.81

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Solution

The fourth proportional to 426.52, 639.63 and 148.81 is: 223.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.52 : 639.63 = 148.81 : x
  2. Step 2: Convert to fraction form
    426.52/639.63 = 148.81/x
  3. Step 3: Cross multiply
    426.52x = 639.63 × 148.81
  4. Step 4: Simplify right side
    426.52x = 95,183.34
  5. Step 5: Solve for x
    x = 95,183.34/426.52
  6. Step 6: Final answer
    x = 223.16

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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.