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Finding the Fourth Proportional to 213.63, 294.99 and 148.11

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Solution

The fourth proportional to 213.63, 294.99 and 148.11 is: 204.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.63 : 294.99 = 148.11 : x
  2. Step 2: Convert to fraction form
    213.63/294.99 = 148.11/x
  3. Step 3: Cross multiply
    213.63x = 294.99 × 148.11
  4. Step 4: Simplify right side
    213.63x = 43,690.97
  5. Step 5: Solve for x
    x = 43,690.97/213.63
  6. Step 6: Final answer
    x = 204.52

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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.