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Finding the Fourth Proportional to 220.47, 304.14 and 146.85

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Solution

The fourth proportional to 220.47, 304.14 and 146.85 is: 202.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.47 : 304.14 = 146.85 : x
  2. Step 2: Convert to fraction form
    220.47/304.14 = 146.85/x
  3. Step 3: Cross multiply
    220.47x = 304.14 × 146.85
  4. Step 4: Simplify right side
    220.47x = 44,662.96
  5. Step 5: Solve for x
    x = 44,662.96/220.47
  6. Step 6: Final answer
    x = 202.58

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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.