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Finding the Fourth Proportional to 459.05, 688.64 and 150.80

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Solution

The fourth proportional to 459.05, 688.64 and 150.80 is: 226.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.05 : 688.64 = 150.80 : x
  2. Step 2: Convert to fraction form
    459.05/688.64 = 150.80/x
  3. Step 3: Cross multiply
    459.05x = 688.64 × 150.80
  4. Step 4: Simplify right side
    459.05x = 103,842.71
  5. Step 5: Solve for x
    x = 103,842.71/459.05
  6. Step 6: Final answer
    x = 226.21

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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.