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Finding the Fourth Proportional to 305.93, 459.12 and 224.98

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Solution

The fourth proportional to 305.93, 459.12 and 224.98 is: 337.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.93 : 459.12 = 224.98 : x
  2. Step 2: Convert to fraction form
    305.93/459.12 = 224.98/x
  3. Step 3: Cross multiply
    305.93x = 459.12 × 224.98
  4. Step 4: Simplify right side
    305.93x = 103,291.25
  5. Step 5: Solve for x
    x = 103,291.25/305.93
  6. Step 6: Final answer
    x = 337.63

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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.