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Finding the Fourth Proportional to 220.61, 304.50 and 146.94

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Solution

The fourth proportional to 220.61, 304.50 and 146.94 is: 202.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.61 : 304.50 = 146.94 : x
  2. Step 2: Convert to fraction form
    220.61/304.50 = 146.94/x
  3. Step 3: Cross multiply
    220.61x = 304.50 × 146.94
  4. Step 4: Simplify right side
    220.61x = 44,743.23
  5. Step 5: Solve for x
    x = 44,743.23/220.61
  6. Step 6: Final answer
    x = 202.82

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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.