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Finding the Fourth Proportional to 342.86, 472.96 and 210.14

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Solution

The fourth proportional to 342.86, 472.96 and 210.14 is: 289.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.86 : 472.96 = 210.14 : x
  2. Step 2: Convert to fraction form
    342.86/472.96 = 210.14/x
  3. Step 3: Cross multiply
    342.86x = 472.96 × 210.14
  4. Step 4: Simplify right side
    342.86x = 99,388.47
  5. Step 5: Solve for x
    x = 99,388.47/342.86
  6. Step 6: Final answer
    x = 289.88

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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.