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Finding the Fourth Proportional to 213.66, 294.87 and 148.14

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Solution

The fourth proportional to 213.66, 294.87 and 148.14 is: 204.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.66 : 294.87 = 148.14 : x
  2. Step 2: Convert to fraction form
    213.66/294.87 = 148.14/x
  3. Step 3: Cross multiply
    213.66x = 294.87 × 148.14
  4. Step 4: Simplify right side
    213.66x = 43,682.04
  5. Step 5: Solve for x
    x = 43,682.04/213.66
  6. Step 6: Final answer
    x = 204.45

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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.