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Finding the Fourth Proportional to 220.83, 304.51 and 146.15

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Solution

The fourth proportional to 220.83, 304.51 and 146.15 is: 201.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.83 : 304.51 = 146.15 : x
  2. Step 2: Convert to fraction form
    220.83/304.51 = 146.15/x
  3. Step 3: Cross multiply
    220.83x = 304.51 × 146.15
  4. Step 4: Simplify right side
    220.83x = 44,505.38
  5. Step 5: Solve for x
    x = 44,505.38/220.83
  6. Step 6: Final answer
    x = 201.54

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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.