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Finding the Fourth Proportional to 221.63, 330.10 and 210.06

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Solution

The fourth proportional to 221.63, 330.10 and 210.06 is: 312.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.63 : 330.10 = 210.06 : x
  2. Step 2: Convert to fraction form
    221.63/330.10 = 210.06/x
  3. Step 3: Cross multiply
    221.63x = 330.10 × 210.06
  4. Step 4: Simplify right side
    221.63x = 69,340.28
  5. Step 5: Solve for x
    x = 69,340.28/221.63
  6. Step 6: Final answer
    x = 312.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.