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Finding the Fourth Proportional to 459.14, 688.67 and 134.49

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Solution

The fourth proportional to 459.14, 688.67 and 134.49 is: 201.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.14 : 688.67 = 134.49 : x
  2. Step 2: Convert to fraction form
    459.14/688.67 = 134.49/x
  3. Step 3: Cross multiply
    459.14x = 688.67 × 134.49
  4. Step 4: Simplify right side
    459.14x = 92,615.78
  5. Step 5: Solve for x
    x = 92,615.78/459.14
  6. Step 6: Final answer
    x = 201.72

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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.