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Finding the Fourth Proportional to 312.97, 469.71 and 221.76

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Solution

The fourth proportional to 312.97, 469.71 and 221.76 is: 332.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.97 : 469.71 = 221.76 : x
  2. Step 2: Convert to fraction form
    312.97/469.71 = 221.76/x
  3. Step 3: Cross multiply
    312.97x = 469.71 × 221.76
  4. Step 4: Simplify right side
    312.97x = 104,162.89
  5. Step 5: Solve for x
    x = 104,162.89/312.97
  6. Step 6: Final answer
    x = 332.82

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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.