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Finding the Fourth Proportional to 332.74, 459.10 and 222.14

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Solution

The fourth proportional to 332.74, 459.10 and 222.14 is: 306.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.74 : 459.10 = 222.14 : x
  2. Step 2: Convert to fraction form
    332.74/459.10 = 222.14/x
  3. Step 3: Cross multiply
    332.74x = 459.10 × 222.14
  4. Step 4: Simplify right side
    332.74x = 101,984.47
  5. Step 5: Solve for x
    x = 101,984.47/332.74
  6. Step 6: Final answer
    x = 306.50

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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.