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Finding the Fourth Proportional to 335.42, 462.90 and 188.06

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Solution

The fourth proportional to 335.42, 462.90 and 188.06 is: 259.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.42 : 462.90 = 188.06 : x
  2. Step 2: Convert to fraction form
    335.42/462.90 = 188.06/x
  3. Step 3: Cross multiply
    335.42x = 462.90 × 188.06
  4. Step 4: Simplify right side
    335.42x = 87,052.91
  5. Step 5: Solve for x
    x = 87,052.91/335.42
  6. Step 6: Final answer
    x = 259.53

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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.