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Finding the Fourth Proportional to 345.82, 477.14 and 213.02

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Solution

The fourth proportional to 345.82, 477.14 and 213.02 is: 293.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.82 : 477.14 = 213.02 : x
  2. Step 2: Convert to fraction form
    345.82/477.14 = 213.02/x
  3. Step 3: Cross multiply
    345.82x = 477.14 × 213.02
  4. Step 4: Simplify right side
    345.82x = 101,640.36
  5. Step 5: Solve for x
    x = 101,640.36/345.82
  6. Step 6: Final answer
    x = 293.91

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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.