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Finding the Fourth Proportional to 319.05, 477.75 and 221.85

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Solution

The fourth proportional to 319.05, 477.75 and 221.85 is: 332.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.05 : 477.75 = 221.85 : x
  2. Step 2: Convert to fraction form
    319.05/477.75 = 221.85/x
  3. Step 3: Cross multiply
    319.05x = 477.75 × 221.85
  4. Step 4: Simplify right side
    319.05x = 105,988.84
  5. Step 5: Solve for x
    x = 105,988.84/319.05
  6. Step 6: Final answer
    x = 332.20

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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.