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Finding the Fourth Proportional to 213.30, 294.20 and 146.88

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Solution

The fourth proportional to 213.30, 294.20 and 146.88 is: 202.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.30 : 294.20 = 146.88 : x
  2. Step 2: Convert to fraction form
    213.30/294.20 = 146.88/x
  3. Step 3: Cross multiply
    213.30x = 294.20 × 146.88
  4. Step 4: Simplify right side
    213.30x = 43,211.36
  5. Step 5: Solve for x
    x = 43,211.36/213.30
  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.