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Finding the Fourth Proportional to 459.05, 688.33 and 150.83

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Solution

The fourth proportional to 459.05, 688.33 and 150.83 is: 226.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.05 : 688.33 = 150.83 : x
  2. Step 2: Convert to fraction form
    459.05/688.33 = 150.83/x
  3. Step 3: Cross multiply
    459.05x = 688.33 × 150.83
  4. Step 4: Simplify right side
    459.05x = 103,817.00
  5. Step 5: Solve for x
    x = 103,817.00/459.05
  6. Step 6: Final answer
    x = 226.15

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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.