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Finding the Fourth Proportional to 342.36, 472.14 and 211.08

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Solution

The fourth proportional to 342.36, 472.14 and 211.08 is: 291.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.36 : 472.14 = 211.08 : x
  2. Step 2: Convert to fraction form
    342.36/472.14 = 211.08/x
  3. Step 3: Cross multiply
    342.36x = 472.14 × 211.08
  4. Step 4: Simplify right side
    342.36x = 99,659.31
  5. Step 5: Solve for x
    x = 99,659.31/342.36
  6. Step 6: Final answer
    x = 291.10

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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.