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Finding the Fourth Proportional to 459.06, 688.70 and 150.93

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Solution

The fourth proportional to 459.06, 688.70 and 150.93 is: 226.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.06 : 688.70 = 150.93 : x
  2. Step 2: Convert to fraction form
    459.06/688.70 = 150.93/x
  3. Step 3: Cross multiply
    459.06x = 688.70 × 150.93
  4. Step 4: Simplify right side
    459.06x = 103,945.49
  5. Step 5: Solve for x
    x = 103,945.49/459.06
  6. Step 6: Final answer
    x = 226.43

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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.