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Finding the Fourth Proportional to 459.10, 688.77 and 150.91

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Solution

The fourth proportional to 459.10, 688.77 and 150.91 is: 226.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.10 : 688.77 = 150.91 : x
  2. Step 2: Convert to fraction form
    459.10/688.77 = 150.91/x
  3. Step 3: Cross multiply
    459.10x = 688.77 × 150.91
  4. Step 4: Simplify right side
    459.10x = 103,942.28
  5. Step 5: Solve for x
    x = 103,942.28/459.10
  6. Step 6: Final answer
    x = 226.40

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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.