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Finding the Fourth Proportional to 333.59, 459.88 and 222.82

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Solution

The fourth proportional to 333.59, 459.88 and 222.82 is: 307.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.59 : 459.88 = 222.82 : x
  2. Step 2: Convert to fraction form
    333.59/459.88 = 222.82/x
  3. Step 3: Cross multiply
    333.59x = 459.88 × 222.82
  4. Step 4: Simplify right side
    333.59x = 102,468.75
  5. Step 5: Solve for x
    x = 102,468.75/333.59
  6. Step 6: Final answer
    x = 307.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.