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Finding the Fourth Proportional to 337.06, 465.06 and 206.02

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Solution

The fourth proportional to 337.06, 465.06 and 206.02 is: 284.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.06 : 465.06 = 206.02 : x
  2. Step 2: Convert to fraction form
    337.06/465.06 = 206.02/x
  3. Step 3: Cross multiply
    337.06x = 465.06 × 206.02
  4. Step 4: Simplify right side
    337.06x = 95,811.66
  5. Step 5: Solve for x
    x = 95,811.66/337.06
  6. Step 6: Final answer
    x = 284.26

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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.