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Finding the Fourth Proportional to 220.10, 328.45 and 189.68

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Solution

The fourth proportional to 220.10, 328.45 and 189.68 is: 283.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.10 : 328.45 = 189.68 : x
  2. Step 2: Convert to fraction form
    220.10/328.45 = 189.68/x
  3. Step 3: Cross multiply
    220.10x = 328.45 × 189.68
  4. Step 4: Simplify right side
    220.10x = 62,300.40
  5. Step 5: Solve for x
    x = 62,300.40/220.10
  6. Step 6: Final answer
    x = 283.05

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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.