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Finding the Fourth Proportional to 253.32, 379.67 and 220.70

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Solution

The fourth proportional to 253.32, 379.67 and 220.70 is: 330.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.32 : 379.67 = 220.70 : x
  2. Step 2: Convert to fraction form
    253.32/379.67 = 220.70/x
  3. Step 3: Cross multiply
    253.32x = 379.67 × 220.70
  4. Step 4: Simplify right side
    253.32x = 83,790.17
  5. Step 5: Solve for x
    x = 83,790.17/253.32
  6. Step 6: Final answer
    x = 330.77

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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.