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Finding the Fourth Proportional to 220.83, 304.86 and 147.25

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Solution

The fourth proportional to 220.83, 304.86 and 147.25 is: 203.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.83 : 304.86 = 147.25 : x
  2. Step 2: Convert to fraction form
    220.83/304.86 = 147.25/x
  3. Step 3: Cross multiply
    220.83x = 304.86 × 147.25
  4. Step 4: Simplify right side
    220.83x = 44,890.64
  5. Step 5: Solve for x
    x = 44,890.64/220.83
  6. Step 6: Final answer
    x = 203.28

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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.