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Finding the Fourth Proportional to 220.48, 304.39 and 155.05

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Solution

The fourth proportional to 220.48, 304.39 and 155.05 is: 214.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.48 : 304.39 = 155.05 : x
  2. Step 2: Convert to fraction form
    220.48/304.39 = 155.05/x
  3. Step 3: Cross multiply
    220.48x = 304.39 × 155.05
  4. Step 4: Simplify right side
    220.48x = 47,195.10
  5. Step 5: Solve for x
    x = 47,195.10/220.48
  6. Step 6: Final answer
    x = 214.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.